EBK COLLEGE ALGEBRA WITH MODELING & VIS
6th Edition
ISBN: 8220103631242
Author: Rockswold
Publisher: Pearson Education (US)
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Chapter R3, Problem 54E
To determine
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Here is an augmented matrix for a system of equations (three equations and three variables). Let the
variables used be x, y, and z:
1 2 4 6
0 1
-1
3
0
0
1
4
Note: that this matrix is already in row echelon form.
Your goal is to use this row echelon form to revert back to the equations that this represents, and then to
ultimately solve the system of equations by finding x, y and z.
Input your answer as a coordinate point: (x,y,z) with no spaces.
1
3 -4
In the following matrix
perform the operation 2R1 + R2 → R2.
-2 -1
6
After you have completed this, what numeric value is in the a22 position?
5
-2
0
1
6 12
Let A
=
6
7
-1
and B =
1/2 3 -14
-2 0
4
4
4
0
Compute -3A+2B and call the resulting matrix R.
If rij represent the individual entries in the matrix R, what numeric value is in 131?
Input your answer as a numeric value only.
Chapter R3 Solutions
EBK COLLEGE ALGEBRA WITH MODELING & VIS
Ch. R3 - Prob. 1ECh. R3 - Prob. 2ECh. R3 - Prob. 3ECh. R3 - Prob. 4ECh. R3 - Prob. 5ECh. R3 - Prob. 6ECh. R3 - Prob. 7ECh. R3 - Prob. 8ECh. R3 - Prob. 9ECh. R3 - Prob. 10E
Ch. R3 - Prob. 11ECh. R3 - Combine like terms whenever possible. 12....Ch. R3 - Prob. 13ECh. R3 - Prob. 14ECh. R3 - Prob. 15ECh. R3 - Prob. 16ECh. R3 - Prob. 17ECh. R3 - Prob. 18ECh. R3 - Prob. 19ECh. R3 - Prob. 20ECh. R3 - Prob. 21ECh. R3 - Prob. 22ECh. R3 - Prob. 23ECh. R3 - Prob. 24ECh. R3 - Prob. 25ECh. R3 - Prob. 26ECh. R3 - Prob. 27ECh. R3 - Prob. 28ECh. R3 - Prob. 29ECh. R3 - Prob. 30ECh. R3 - Prob. 31ECh. R3 - Prob. 32ECh. R3 - Prob. 33ECh. R3 - Prob. 34ECh. R3 - Prob. 35ECh. R3 - Prob. 36ECh. R3 - Prob. 37ECh. R3 - Prob. 38ECh. R3 - Prob. 39ECh. R3 - Prob. 40ECh. R3 - Prob. 41ECh. R3 - Prob. 42ECh. R3 - Prob. 43ECh. R3 - Prob. 44ECh. R3 - Prob. 45ECh. R3 - Prob. 46ECh. R3 - Prob. 47ECh. R3 - Prob. 48ECh. R3 - Prob. 49ECh. R3 - Prob. 50ECh. R3 - Prob. 51ECh. R3 - Prob. 52ECh. R3 - Prob. 53ECh. R3 - Prob. 54ECh. R3 - Prob. 55ECh. R3 - Prob. 56ECh. R3 - Prob. 57ECh. R3 - Prob. 58ECh. R3 - Prob. 59ECh. R3 - Prob. 60ECh. R3 - Prob. 61ECh. R3 - Prob. 62ECh. R3 - Prob. 63ECh. R3 - Prob. 64ECh. R3 - Prob. 65ECh. R3 - Prob. 66ECh. R3 - Prob. 67ECh. R3 - Prob. 68ECh. R3 - Prob. 69ECh. R3 - Prob. 70ECh. R3 - Prob. 71ECh. R3 - Prob. 72ECh. R3 - Prob. 73ECh. R3 - Prob. 74ECh. R3 - Prob. 75ECh. R3 - Prob. 76ECh. R3 - Prob. 77ECh. R3 - Prob. 78ECh. R3 - Prob. 79ECh. R3 - Prob. 80ECh. R3 - Prob. 81ECh. R3 - Prob. 82ECh. R3 - Prob. 83ECh. R3 - Prob. 84ECh. R3 - Prob. 85ECh. R3 - Prob. 86ECh. R3 - Prob. 87ECh. R3 - Prob. 88ECh. R3 - Prob. 89ECh. R3 - Prob. 90ECh. R3 - Prob. 91ECh. R3 - Prob. 92ECh. R3 - Prob. 93ECh. R3 - Prob. 94ECh. R3 - Prob. 95ECh. R3 - Prob. 96E
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- 1 -2 4 10 My goal is to put the matrix 5 -1 1 0 into row echelon form using Gaussian elimination. 3 -2 6 9 My next step is to manipulate this matrix using elementary row operations to get a 0 in the a21 position. Which of the following operations would be the appropriate elementary row operation to use to get a 0 in the a21 position? O (1/5)*R2 --> R2 ○ 2R1 + R2 --> R2 ○ 5R1+ R2 --> R2 O-5R1 + R2 --> R2arrow_forwardThe 2x2 linear system of equations -2x+4y = 8 and 4x-3y = 9 was put into the following -2 4 8 augmented matrix: 4 -3 9 This augmented matrix is then converted to row echelon form. Which of the following matrices is the appropriate row echelon form for the given augmented matrix? 0 Option 1: 1 11 -2 Option 2: 4 -3 9 Option 3: 10 ܂ -2 -4 5 25 1 -2 -4 Option 4: 0 1 5 1 -2 Option 5: 0 0 20 -4 5 ○ Option 1 is the appropriate row echelon form. ○ Option 2 is the appropriate row echelon form. ○ Option 3 is the appropriate row echelon form. ○ Option 4 is the appropriate row echelon form. ○ Option 5 is the appropriate row echelon form.arrow_forwardLet matrix A have order (dimension) 2x4 and let matrix B have order (dimension) 4x4. What results when you compute A+B? The resulting matrix will have dimensions of 2x4. ○ The resulting matrix will be a single number (scalar). The resulting matrix will have dimensions of 4x4. A+B is undefined since matrix A and B do not have the same dimensions.arrow_forward
- If -1 "[a446]-[254] 4b = -1 , find the values of a and b. ○ There is no solution for a and b. ○ There are infinite solutions for a and b. O a=3, b=3 O a=1, b=2 O a=2, b=1 O a=2, b=2arrow_forwardA student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.arrow_forwardSolve the following system of equations using matrices: -2x + 4y = 8 and 4x - 3y = 9 Note: This is the same system of equations referenced in Question 14. If a single solution exists, express your solution as an (x,y) coordinate point with no spaces. If there are infinite solutions write inf and if there are no solutions write ns in the box.arrow_forward
- Consider the table of values below. x y 2 63 3 70 4 77 5 84 Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.arrow_forwardThere were 426 books sold in one week. The number of biology books sold was 5 times that of the number of psychology books. How many books each were sold?arrow_forwardPopulation decreases 5% each year. Starts with a starting population of 3705. Find that population after 5 years.arrow_forward
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