College Algebra
10th Edition
ISBN: 9781337282291
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 7.4, Problem 103E
(a)
To determine
To calculate: The determinant of a diagonal matrix,
(b)
To determine
To calculate: The determinant of a given diagonal matrix,
(c)
To determine
To calculate: The determinant of a given diagonal matrix,
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Problem 2 [20 points]: Find the Reduced Row
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Problem 3 [30 points]: Consider the following
linear system:
x+2y=1
-2x+2my=0
a) Write the linear system in the matrix form:
A.X=b.
b) For m=1, find the inverse of A, using the
definition of the inverse. In this case, deduce the
solution of the system.
c) Use the definition of the inverse to find the
values of m for which A is not invertible.
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Chapter 7 Solutions
College Algebra
Ch. 7.1 - Determine the dimension of the matrix 14710238.Ch. 7.1 - Prob. 2ECPCh. 7.1 - Identify the elementary row operation performed to...Ch. 7.1 - Compare solving the linear system below to solving...Ch. 7.1 - Determine whether the matrix is in row-echelon...Ch. 7.1 - Solve the system 3x+5y+3z=193x+4y+4z=84x8y6z=26.Ch. 7.1 - Prob. 7ECPCh. 7.1 - Prob. 8ECPCh. 7.1 - Solve the system 2x6y+6z=462x3y=31.Ch. 7.1 - Prob. 1E
Ch. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Dimension of a Matrix: In Exercises 7-14,...Ch. 7.1 - Dimension of a Matrix: In Exercises 7-14,...Ch. 7.1 - Dimension of a Matrix: In Exercises 7-14,...Ch. 7.1 - Prob. 11ECh. 7.1 - Dimension of a Matrix: In Exercises 7-14,...Ch. 7.1 - Prob. 13ECh. 7.1 - Dimension of a Matrix: In Exercises 7-14,...Ch. 7.1 - Prob. 15ECh. 7.1 - Writing an Augmented Matrix: In Exercises 15-20,...Ch. 7.1 - Writing an Augmented Matrix: In Exercises 15-20,...Ch. 7.1 - Writing an Augmented Matrix: In Exercises 15-20,...Ch. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Writing a System of Equations: In Exercises 21-26,...Ch. 7.1 - Prob. 23ECh. 7.1 - Writing a System of Equations: In Exercises 21-26,...Ch. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Elementary Row Operations In Exercises 31-38, fill...Ch. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Elementary Row Operations In Exercises 31-38, fill...Ch. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Comparing Linear Systems and Matrix Operations: In...Ch. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Using a Graphing Utility: In Exercises 49-54, use...Ch. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - Prob. 65ECh. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.1 - Prob. 70ECh. 7.1 - Prob. 71ECh. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Prob. 74ECh. 7.1 - Prob. 75ECh. 7.1 - Gauss-Jordan Elimination: In Exercises 71-78, use...Ch. 7.1 - Prob. 77ECh. 7.1 - Gauss-Jordan Elimination: In Exercises 71-78, use...Ch. 7.1 - Using a Graphing Utility: In Exercises 79-84, use...Ch. 7.1 - Prob. 80ECh. 7.1 - Prob. 81ECh. 7.1 - Prob. 82ECh. 7.1 - Prob. 83ECh. 7.1 - Prob. 84ECh. 7.1 - Prob. 85ECh. 7.1 - Prob. 86ECh. 7.1 - Prob. 87ECh. 7.1 - Curve Fitting: In Exercises 87-92, use a system of...Ch. 7.1 - Prob. 89ECh. 7.1 - Prob. 90ECh. 7.1 - Prob. 91ECh. 7.1 - Prob. 92ECh. 7.1 - Prob. 93ECh. 7.1 - Museum A natural history museum borrows $2,000,000...Ch. 7.1 - Prob. 95ECh. 7.1 - Mathematical Modeling: A video of the path of a...Ch. 7.1 - Prob. 97ECh. 7.1 - Prob. 98ECh. 7.1 - Prob. 99ECh. 7.1 - Prob. 100ECh. 7.2 - Solve for a11, a12, a21 and a22 in the matrix...Ch. 7.2 - Prob. 2ECPCh. 7.2 - For the matrices below, find (a) AB, (b) 3A and...Ch. 7.2 - Prob. 4ECPCh. 7.2 - Prob. 5ECPCh. 7.2 - Prob. 6ECPCh. 7.2 - Prob. 7ECPCh. 7.2 - Prob. 8ECPCh. 7.2 - Prob. 9ECPCh. 7.2 - Prob. 10ECPCh. 7.2 - Prob. 11ECPCh. 7.2 - Prob. 12ECPCh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - Operations with Matrices: In Exercises 9-16, if...Ch. 7.2 - Operations with Matrices: In Exercises 9-16, if...Ch. 7.2 - Operations with Matrices: In Exercises 9-16, if...Ch. 7.2 - Prob. 12ECh. 7.2 - Operations with Matrices: In Exercises 9-16, if...Ch. 7.2 - Operations with Matrices: In Exercises 9-16, if...Ch. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - Prob. 23ECh. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Solving a Matrix Equation: In Exercises 27-34,...Ch. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Finding the Product of Two Matrices: In Exercises...Ch. 7.2 - Finding the Product of Two Matrices: In Exercises...Ch. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Operations with Matrices In Exercises 47-54, if...Ch. 7.2 - Operations with Matrices: In Exercises 47-54, if...Ch. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Operations with Matrices: In Exercises 47-54, if...Ch. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Operations with Matrices: In Exercises 47-54, if...Ch. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - Prob. 63ECh. 7.2 - Prob. 64ECh. 7.2 - Prob. 65ECh. 7.2 - Prob. 66ECh. 7.2 - Prob. 67ECh. 7.2 - Vacation Packages: A travel agent identifies four...Ch. 7.2 - Agriculture: A farmer grows apples and peaches....Ch. 7.2 - Revenue: An electronics manufacturer produces...Ch. 7.2 - Labor and Wages: A company has two factories that...Ch. 7.2 - Profit: At a local store, the numbers of gallons...Ch. 7.2 - Prob. 73ECh. 7.2 - Exercise The numbers of calories burned by...Ch. 7.2 - Prob. 75ECh. 7.2 - Prob. 76ECh. 7.2 - Prob. 77ECh. 7.2 - Prob. 78ECh. 7.2 - Prob. 79ECh. 7.2 - Prob. 80ECh. 7.2 - Prob. 81ECh. 7.2 - Prob. 82ECh. 7.2 - Prob. 83ECh. 7.2 - HOW DO YOU SEE IT? A corporation has three...Ch. 7.2 - Prob. 85ECh. 7.2 - Prob. 86ECh. 7.3 - Show that B=1132 is the inverse of A=2131.Ch. 7.3 - Prob. 2ECPCh. 7.3 - Prob. 3ECPCh. 7.3 - Prob. 4ECPCh. 7.3 - Prob. 5ECPCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Fill in the blanks. If A is an invertible matrix,...Ch. 7.3 - The Inverse of a Matrix: In Exercises 5-12, show...Ch. 7.3 - The Inverse of a Matrix: In Exercises 5-12, show...Ch. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Finding the Inverse of a Matrix: In Exercises...Ch. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Finding the Inverse of a Matrix: In Exercises...Ch. 7.3 - Finding the Inverse of a Matrix: In Exercises...Ch. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Finding the Inverse of a Matrix: In Exercises...Ch. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Investment Portfolio: In Exercise 57 and 58, you...Ch. 7.3 - Prob. 58ECh. 7.3 - Circuit Analysis In Exercises 59-62, consider the...Ch. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Raw Materials: In Exercises 63 and 64, find the...Ch. 7.3 - Raw Materials: In Exercises 63 and 64, find the...Ch. 7.3 - Floral Design: A florist is creating 10...Ch. 7.3 - International Travel: The table shows the numbers...Ch. 7.3 - Prob. 67ECh. 7.3 - Prob. 68ECh. 7.3 - Prob. 69ECh. 7.3 - Prob. 70ECh. 7.3 - Prob. 71ECh. 7.3 - Prob. 72ECh. 7.3 - Conjecture Consider matrices of the form...Ch. 7.3 - Prob. 74ECh. 7.3 - Prob. 75ECh. 7.4 - Find the determinant of each matrix. a. A=1231 b....Ch. 7.4 - Prob. 2ECPCh. 7.4 - Prob. 3ECPCh. 7.4 - Prob. 4ECPCh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Finding the Determinant of a Matrix In Exercises...Ch. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.4 - Prob. 49ECh. 7.4 - Prob. 50ECh. 7.4 - Prob. 51ECh. 7.4 - Prob. 52ECh. 7.4 - Prob. 53ECh. 7.4 - Prob. 54ECh. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Prob. 57ECh. 7.4 - Prob. 58ECh. 7.4 - Prob. 59ECh. 7.4 - Prob. 60ECh. 7.4 - Prob. 61ECh. 7.4 - Prob. 62ECh. 7.4 - Prob. 63ECh. 7.4 - Prob. 64ECh. 7.4 - Prob. 65ECh. 7.4 - Prob. 66ECh. 7.4 - Prob. 67ECh. 7.4 - Prob. 68ECh. 7.4 - Prob. 69ECh. 7.4 - Prob. 70ECh. 7.4 - Prob. 71ECh. 7.4 - Prob. 72ECh. 7.4 - Prob. 73ECh. 7.4 - Prob. 74ECh. 7.4 - Verifying an Equation In Exercises 75-80, find the...Ch. 7.4 - Prob. 76ECh. 7.4 - Prob. 77ECh. 7.4 - Prob. 78ECh. 7.4 - Prob. 79ECh. 7.4 - Prob. 80ECh. 7.4 - Prob. 81ECh. 7.4 - Prob. 82ECh. 7.4 - Prob. 83ECh. 7.4 - Prob. 84ECh. 7.4 - Prob. 85ECh. 7.4 - Prob. 86ECh. 7.4 - Prob. 87ECh. 7.4 - Prob. 88ECh. 7.4 - Prob. 89ECh. 7.4 - Prob. 90ECh. 7.4 - Prob. 91ECh. 7.4 - Prob. 92ECh. 7.4 - Prob. 93ECh. 7.4 - Prob. 94ECh. 7.4 - Prob. 95ECh. 7.4 - Prob. 96ECh. 7.4 - Prob. 97ECh. 7.4 - Prob. 98ECh. 7.4 - Prob. 99ECh. 7.4 - Prob. 100ECh. 7.4 - Prob. 101ECh. 7.4 - Prob. 102ECh. 7.4 - Prob. 103ECh. 7.5 - Prob. 1ECPCh. 7.5 - Prob. 2ECPCh. 7.5 - Prob. 3ECPCh. 7.5 - Prob. 4ECPCh. 7.5 - Prob. 5ECPCh. 7.5 - Find the image of the square in Example 6 after a...Ch. 7.5 - Prob. 7ECPCh. 7.5 - Prob. 8ECPCh. 7.5 - Prob. 9ECPCh. 7.5 - Prob. 10ECPCh. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Fill in the blanks. To encode a message, create an...Ch. 7.5 - Fill in the blanks. A message encoded using an...Ch. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Area of Infestation A large region of forest is...Ch. 7.5 - Botany: A botanist is studying the plants growing...Ch. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7.5 - Finding an Equation of a Line In Exercises 31-36,...Ch. 7.5 - Prob. 36ECh. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.5 - Prob. 39ECh. 7.5 - Prob. 40ECh. 7.5 - Prob. 41ECh. 7.5 - Prob. 42ECh. 7.5 - Prob. 43ECh. 7.5 - Prob. 44ECh. 7.5 - Prob. 45ECh. 7.5 - Encoding a Message: In Exercises 45 and 46, (a)...Ch. 7.5 - Encoding a Message In Exercises 47 and 48, (a)...Ch. 7.5 - Encoding a Message In Exercises 47 and 48, (a)...Ch. 7.5 - Prob. 49ECh. 7.5 - In Exercises 49-52, write a cryptogram for the...Ch. 7.5 - In Exercises 49-52, write a cryptogram for the...Ch. 7.5 - In Exercises 49-52, write a cryptogram for the...Ch. 7.5 - Prob. 53ECh. 7.5 - Decoding a Message: In Exercises 53-56, use A1 to...Ch. 7.5 - Decoding a Message: In Exercises 53-56, use A1to...Ch. 7.5 - Prob. 56ECh. 7.5 - Prob. 57ECh. 7.5 - Prob. 58ECh. 7.5 - Decoding a Message: The cryptogram below was...Ch. 7.5 - Decoding a Message: The cryptogram below was...Ch. 7.5 - Circuit Analysis: Consider the circuit shown in...Ch. 7.5 - Prob. 62ECh. 7.5 - Prob. 63ECh. 7.5 - Prob. 64ECh. 7.5 - Prob. 65ECh. 7.5 - Prob. 66ECh. 7.5 - Prob. 67ECh. 7 - Dimension of a Matrix: In Exercises 1-4, determine...Ch. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Writing an Augmented Matrix: In Exercises 5 and 6,...Ch. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Gaussian Elimination with Back-Substitution In...Ch. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 58RECh. 7 - Prob. 59RECh. 7 - Prob. 60RECh. 7 - Prob. 61RECh. 7 - Prob. 62RECh. 7 - Prob. 63RECh. 7 - Prob. 64RECh. 7 - Prob. 65RECh. 7 - Prob. 66RECh. 7 - Prob. 67RECh. 7 - Finding the Inverse of a Matrix: In Exercises...Ch. 7 - Prob. 69RECh. 7 - Prob. 70RECh. 7 - Prob. 71RECh. 7 - Prob. 72RECh. 7 - Prob. 73RECh. 7 - Prob. 74RECh. 7 - Prob. 75RECh. 7 - Prob. 76RECh. 7 - Prob. 77RECh. 7 - Prob. 78RECh. 7 - Prob. 79RECh. 7 - Prob. 80RECh. 7 - Prob. 81RECh. 7 - Prob. 82RECh. 7 - Prob. 83RECh. 7 - Prob. 84RECh. 7 - Prob. 85RECh. 7 - Prob. 86RECh. 7 - Prob. 87RECh. 7 - Prob. 88RECh. 7 - Prob. 89RECh. 7 - Prob. 90RECh. 7 - Prob. 91RECh. 7 - Prob. 92RECh. 7 - Prob. 93RECh. 7 - Prob. 94RECh. 7 - Prob. 95RECh. 7 - Prob. 96RECh. 7 - Prob. 97RECh. 7 - Prob. 98RECh. 7 - Prob. 99RECh. 7 - Prob. 100RECh. 7 - Prob. 101RECh. 7 - Prob. 102RECh. 7 - Prob. 103RECh. 7 - Prob. 104RECh. 7 - Prob. 105RECh. 7 - Using Cramer’s Rule: In Exercises 105-108, use...Ch. 7 - Prob. 107RECh. 7 - Prob. 108RECh. 7 - Prob. 109RECh. 7 - Prob. 110RECh. 7 - Prob. 111RECh. 7 - Prob. 112RECh. 7 - Prob. 113RECh. 7 - Prob. 114RECh. 7 - Prob. 115RECh. 7 - Prob. 116RECh. 7 - Prob. 117RECh. 7 - Finding the Area of a Parallelogram: In Exercises...Ch. 7 - Prob. 119RECh. 7 - Prob. 120RECh. 7 - Prob. 121RECh. 7 - Prob. 122RECh. 7 - Prob. 123RECh. 7 - Prob. 124RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - One hundred liters of a 50% solution is obtained...Ch. 7 - Prob. 1PSCh. 7 - Prob. 2PSCh. 7 - Prob. 3PSCh. 7 - Prob. 4PSCh. 7 - Prob. 5PSCh. 7 - Satellite Television: Two competing companies...Ch. 7 - Prob. 7PSCh. 7 - Finding a Value: Find x such that the matrix is...Ch. 7 - Prob. 9PSCh. 7 - Prob. 10PSCh. 7 - Prob. 11PSCh. 7 - Prob. 12PSCh. 7 - Prob. 13PSCh. 7 - Prob. 14PSCh. 7 - Prob. 15PSCh. 7 - Prob. 16PSCh. 7 - Decoding a Message: Use the inverse of A to decode...Ch. 7 - Prob. 18PSCh. 7 - Prob. 19PSCh. 7 - Prob. 20PS
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- For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) 6 -2 -[47] A = -3 1 P = Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. P-1AP =arrow_forward(e) Without using a membership table, show that (A N B) U (A N B) = A. State all the rules used.arrow_forwardThe function r has vertical asymptotes x =____________ (smaller value) and x = __________ (larger value)arrow_forward
- Problem 1. 1.1. In each of the below, find a complete list of subgroups of the group G and write down their orders. a) The group G = Z/48Z b) The group G of rotations in D14. c) The group G = Z13 of 13-th roots of unity in C. 1.2. Find all elements x of the group G from 1.1 b) which generate G. 1.3. Let H = [[20]) ℃ Z/48Z. Using only order, determine which of the subgroups from your solution to 1.1 a) H coincides with.arrow_forwardmy teacher told me the answer was 4a⁷b⁶ because of the product of a power how can I tell the truth us there any laws in math please provide the law to correct her tyarrow_forwarda=1 b=41)Find the vector and parametric scalar equations of the line L. Show that Q does not lieon L. 2)Without performing any numerical calculations, express d in terms of sin(θ) and |P Q| andhence show that d = |P Q × v(v with a hat)|. Proceed to use your points P and Q and the vector v(hat) to find d. 3)Find the point R such that PR =(P Q · v(hat)/|v(hat)| 2⃗ ) * v(hat). Confirm that R lies on the line L. Interpret the vector P R. Finally, verify that d = |RQ|.arrow_forward
- Directions: Use your knowledge of properties of quadratic equations to answer each question. Show all work and label your answers with appropriate units. Round any decimals to the nearest hundredths place. 1. The hypotenuse of a right triangle is 5 centimeters longer than one leg and 10 centimeters longer than the other leg. What are the dimensions of the triangle? 2. The profit of a cell phone manufacturer is found by the function y = -2x²+ 108x+75, where x is the price of the cell phone. At what price should the manufacturer sell the phone to maximize its profits? What will the maximum profit be? 3. A farmer wants to build a fence around a rectangular area of his farm with one side of the region against his barn. He has 76 feet of fencing to use for the three remaining sides. What dimensions will make the largest area for the region? 4. A 13-foot ladder is leaning against a building, forming a right triangle. The height where the ladder touches the building is 7 feet more than the…arrow_forwardConsider the linear system: x12x2ax3 - 3x1 + x2 3x3 -3x14x2+7x3 a) For what value of a we can not solve the above system using Cramer's Rule? a b) If we take a 3 what will be the value of x₁? x1 = == 4. =-7 ==arrow_forwardIf u and v are any elements in vector space V and u v is not in V then V is not closed under the operation . ○ True ○ Falsearrow_forward
- Consider the linear system: x1 + 2x2 + 3x3 3x1 + 2x2 + x3 = 17 = 11 x1 - 5x2 + x3 =-5 Let A be the coefficient matrix of the given system and using Cramer's Rule x = • x1 = = det(A2) = ÷ det(Ai) det(A)arrow_forwardThe linear system can be solved by Cramer's Rule. ○ True ○ False 2x14x26x3 = 2, x1 + 2x3 = 0, 2x13x2 x3 = −5arrow_forwardConsider the linear system: 2x1 +7x2 = -21 -x1-3x2 = = 14 Which one of the following gives the value of x₁ using Cramer's rule? Select one: 21 7 14 -3 x1 = 2 7 -1 -3 -21 7 14 -3 x1 2 7 1 -3 O None of these. -21 -1 14 x1 = 2 7 -1 -3 -21 -1 14 x1 = 2 7 1 -3arrow_forward
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