Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 12, Problem 268RE
In the following exercises, find the term described using the information provided.
268. Find the seventeenth term of a sequence where the first term is -21 and the common difference is two.
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Question 1. Solve the system
-
x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
2x12x2+7x3+7x4
Question 2. Consider the system
= 1
=-2
= 1
3x1 - x2 + ax3
= 1
x1 + 3x2 + 2x3
x12x2+2x3
= -b
= 4
1 For what values of a, b will the system be inconsistent?
2 For what values of a, b will the system have only one solution?
For what values of a, b will the saystem have infinitely many solutions?
Chapter 12 Solutions
Intermediate Algebra
Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Find a general term for the sequence whose first...
Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Expand the partial sum and five its value: i=153i.Ch. 12.1 - Expand the partial sum and five its value: i=154i.Ch. 12.1 - Expand the partial sum and five its value:...Ch. 12.1 - Expand the partial sum and five its value:...Ch. 12.1 - Write each sum using summation notation:...Ch. 12.1 - Write each sum using summation notation:...Ch. 12.1 - Write each sum using summation notation:...Ch. 12.1 - Write each sum using summation notation: 2+46+810.Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - 3In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - the following exercises, using factorial notation,...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In your own words, explain how to write the terms...Ch. 12.1 - Which terms of the sequence are negative when the...Ch. 12.1 - In your own words, explain what is meant by n!...Ch. 12.1 - Explain what each part of the notation k=1122k...Ch. 12.2 - Determine if each sequence is arithmetic. If so,...Ch. 12.2 - Determine if each sequence is arithmetic. If so,...Ch. 12.2 - Write the first five terms of the sequence where...Ch. 12.2 - Write the first five terms of the sequence where...Ch. 12.2 - Find the twenty-seventh term of a sequence where...Ch. 12.2 - Find the eighteenth term of a sequence where the...Ch. 12.2 - Find the eleventh term of a sequence where the...Ch. 12.2 - Find the nineteenth term of a sequence where the...Ch. 12.2 - Find the first term and common difference of a...Ch. 12.2 - Find the first term and common difference of a...Ch. 12.2 - Find the sum of the first 30 terms of the...Ch. 12.2 - Find the sum of the first 30 terms of the...Ch. 12.2 - Find the sum of the first 50 terms of the...Ch. 12.2 - Find the sum of the first 50 terms of the...Ch. 12.2 - Find the sum: i=130(6i4).Ch. 12.2 - Find the sum: i=135(5i3).Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find each sum. 117....Ch. 12.2 - In the following exercises, find each sum. 118....Ch. 12.2 - In the following exercises, find each sum. 119....Ch. 12.2 - In the following exercises, find each sum. 120....Ch. 12.2 - In the following exercises, find each sum. 121....Ch. 12.2 - In the following exercises, find each sum. 122....Ch. 12.2 - In your own words, explain how to determine...Ch. 12.2 - ?In your own words, explain how the first two...Ch. 12.2 - In your own words, explain how to find the general...Ch. 12.2 - In your own words, explain how to find the sum of...Ch. 12.3 - Determine if each sequence is geometric. If so...Ch. 12.3 - Determine if each sequence is geometric. If so...Ch. 12.3 - Write the first five terms of the sequence where...Ch. 12.3 - Write the first five terms of the sequence where...Ch. 12.3 - Find the thirteenth term of a sequence where the...Ch. 12.3 - Find the twelfth term of a sequence where the...Ch. 12.3 - Find the ninth term of the sequence...Ch. 12.3 - Find the eleventh term of the sequence...Ch. 12.3 - Find the sum of the first 20 terms of the...Ch. 12.3 - Find the sum of the first 20 terms of the...Ch. 12.3 - Find the sum: i=1156(2)i.Ch. 12.3 - Find the sum: i=1105(2)i.Ch. 12.3 - Find the sum of the infinite geometric series...Ch. 12.3 - Find the sum of the infinite geometric series...Ch. 12.3 - Write the repeating decimal 0.4 as a fraction.Ch. 12.3 - Write the repeating decimal 0.8 as a fraction.Ch. 12.3 - What is the total effect on the economy of a...Ch. 12.3 - What is the total effect on the economy of a...Ch. 12.3 - New grandparents decide to invest 3200 per month...Ch. 12.3 - Arturo just got his first full-time job after...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of each...Ch. 12.3 - In the following exercises, find the sum of each...Ch. 12.3 - In the following exercises, find the sum of each...Ch. 12.3 - In the following exercises, find the sum of each...Ch. 12.3 - In the following exercises, find the sum of each...Ch. 12.3 - In the following exercises, find the sum of each...Ch. 12.3 - In the following exercises, find the sum of each...Ch. 12.3 - In the following exercises, find the sum of each...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In your own words, explain how to determine...Ch. 12.3 - In your own words, explain how to find the general...Ch. 12.3 - In your own words, explain the difference between...Ch. 12.3 - In your own words, explain how to determine if an...Ch. 12.4 - Use Pascal’s Triangle to expand (x+y)5.Ch. 12.4 - Use Pascal’s Triangle to expand (p+q)7.Ch. 12.4 - Use Pascal’s Triangle to expand (x+2)4.Ch. 12.4 - Use Pascal’s Triangle to expand (x+1)6.Ch. 12.4 - Use Pascal’s Triangle to expand (2x3)4.Ch. 12.4 - Use Pascal’s Triangle to expand (2x1)6.Ch. 12.4 - Evaluate each binomial coefficient: (a)(61)...Ch. 12.4 - Evaluate each binomial coefficient: (a)(21) (b)(...Ch. 12.4 - Use the Binomial Theorem to expand (x+y)5.Ch. 12.4 - Use the Binomial Theorem to expand (m+n)6.Ch. 12.4 - Use the Binomial Theorem to expand (x3)5.Ch. 12.4 - Use the Binomial Theorem to expand (y1)6.Ch. 12.4 - Use the Binomial Theorem to expand (3x2y)5.Ch. 12.4 - Use the Binomial Theorem to Expand (4x3y)4.Ch. 12.4 - Find the third term of (x+y)6.Ch. 12.4 - Find the fifth term of (a+b)8.Ch. 12.4 - Find the coefficient of the x5 term of (x+4)8.Ch. 12.4 - Find the coefficient of the x4 term of (x+2)7.Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, evaluate. 210. (a)...Ch. 12.4 - In the following exercises, evaluate. 211. (a)...Ch. 12.4 - In the following exercises, evaluate. 212. (a)...Ch. 12.4 - In the following exercises, evaluate. 213. (a)...Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, find the indicated...Ch. 12.4 - In the following exercises, find the indicated...Ch. 12.4 - In the following exercises, find the indicated...Ch. 12.4 - In the following exercises, find the indicated...Ch. 12.4 - In the following exercises, find the coefficient...Ch. 12.4 - In the following exercises, find the coefficient...Ch. 12.4 - In the following exercises, find the coefficient...Ch. 12.4 - the following exercises, find the coefficient of...Ch. 12.4 - In the following exercises, find the coefficient...Ch. 12.4 - the following exercises, find the coefficient of...Ch. 12.4 - your own words explain how to find the rows of the...Ch. 12.4 - In your own words, explain the pattern of...Ch. 12.4 - In your own words, explain the difference between...Ch. 12.4 - your own words, explain how to find a specific...Ch. 12 - In the following exercises, write the first five...Ch. 12 - the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, using factorial...Ch. 12 - In the following exercises, using factorial...Ch. 12 - In the following exercises, using factorial...Ch. 12 - In the following exercises, expand the partial sum...Ch. 12 - In the following exercises, expand the partial sum...Ch. 12 - In the following exercises, expand the partial sum...Ch. 12 - In the following exercises, expand the partial sum...Ch. 12 - In the following exercises, write each sum using...Ch. 12 - In the following exercises, write each sum using...Ch. 12 - In the following exercises, write each sum using...Ch. 12 - In the following exercises, determine if each...Ch. 12 - In the following exercises, determine if each...Ch. 12 - In the following exercises, determine if each...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, find the term...Ch. 12 - In the following exercises, find the term...Ch. 12 - In the following exercises, find the term...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the first term...Ch. 12 - In the following exercises, find the first term...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find each sum. 277....Ch. 12 - In the following exercises, find each sum. 278....Ch. 12 - In the following exercises, find each sum. 279....Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum 294....Ch. 12 - In the following exercises, find the sum 295....Ch. 12 - In the following exercises, find the sum of each...Ch. 12 - In the following exercises, find the sum of each...Ch. 12 - In the following exercises, write each repeating...Ch. 12 - In the following exercises, write each repeating...Ch. 12 - In the following exercises, solve the problem....Ch. 12 - In the following exercises, solve the problem....Ch. 12 - In the following exercises, expand each binomial...Ch. 12 - In the following exercises, expand each binomial...Ch. 12 - In the following exercises, expand each binomial...Ch. 12 - In the following exercises, expand each binomial...Ch. 12 - äIn the following exercises, expand each binomial...Ch. 12 - In the following exercises, evaluate. 307. (a) (...Ch. 12 - In the following exercises, evaluate. 308. (a)...Ch. 12 - In the following exercises, evaluate. 309. (a)...Ch. 12 - In the following exercises, expand each binomial,...Ch. 12 - In the following exercises, expand each binomial,...Ch. 12 - In the following exercises, expand each binomial,...Ch. 12 - In the following exercises, expand each binomial,...Ch. 12 - In the following exercises, expand each binomial,...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the coefficient...Ch. 12 - In the following exercises, find the coefficient...Ch. 12 - In the following exercises, find the coefficient...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - Find a general term for the sequence,...Ch. 12 - Expand the partial sum and find its value. i=14(...Ch. 12 - Write the following using summation notation....Ch. 12 - Write the first five terms of the arithmetic...Ch. 12 - Find the twentieth term of an arithmetic sequence...Ch. 12 - Find the twenty-third term of an arithmetic...Ch. 12 - Find the first term and common difference of an...Ch. 12 - Find the sum of the first 25 terms of the...Ch. 12 - Find the sum of the first 50 terms of the...Ch. 12 - Find the sum. i=140(5i21)Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - the following exercises, determine if the sequence...Ch. 12 - In the following exercises, find the sum. 338....Ch. 12 - In the following exercises, find the sum. 339....Ch. 12 - In the following exercises, find the sum. 340....Ch. 12 - In the following exercises, find the sum. 341....Ch. 12 - In the following exercises, find the sum. 342....Ch. 12 - In the following exercises, find the sum. 343....Ch. 12 - In the following exercises, find the sum. 344....
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- Question 5. Let A, B, C ben x n-matrices, S is nonsigular. If A = S-1 BS, show that det (A) = det (B) Question 6. For what values of k is the matrix A = (2- k -1 -1 2) singular? karrow_forward1 4 5 Question 3. Find A-1 (if exists), where A = -3 -1 -2 2 3 4 Question 4. State 4 equivalent conditions for a matrix A to be nonsingulararrow_forwardHow long is a guy wire reaching from the top of a 15-foot pole to a point on the ground 9-feet from the pole? Question content area bottom Part 1 The guy wire is exactly feet long. (Type an exact answer, using radicals as needed.) Part 2 The guy wire is approximatelyfeet long. (Round to the nearest thousandth.)arrow_forward
- Question 6 Not yet answered Marked out of 5.00 Flag question = If (4,6,-11) and (-12,-16,4), = Compute the cross product vx w karrow_forwardConsider the following vector field v^-> (x,y): v^->(x,y)=2yi−xj What is the magnitude of the vector v⃗ located in point (13,9)? [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places]arrow_forwardQuestion 4 Find the value of the first element for the first row of the inverse matrix of matrix B. 3 Not yet answered B = Marked out of 5.00 · (³ ;) Flag question 7 [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places] Answer:arrow_forward
- Question 2 Not yet answered Multiply the following Matrices together: [77-4 A = 36 Marked out of -5 -5 5.00 B = 3 5 Flag question -6 -7 ABarrow_forwardAssume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the abovearrow_forwardSelect the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forward
- Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forward
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