College Algebra
10th Edition
ISBN: 9781337282291
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 7.4, Problem 54E
To determine
To calculate: The determinant of the matrix
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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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- The Determinant of the Inverse of a Matrix In Exercises 29-32, find |A-1|. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding |A|and then applying the formula from Theorem 3.8, |A-1|=1|A|. A=[112248110]arrow_forwardVerify an Equation In Exercises 63-68, evaluate the determinants to verify the equation. |wxyz|=|wx+cwyz+cy|arrow_forwardSolving an Equation In Exercises 4952, find the value of for which the determinant is zero. |5315|arrow_forward
- The Determinant of a Matrix In Exercises 1-12, find the determinant of the matrix. [76123]arrow_forwardFinding a Determinant in Exercises 33 and 34, use the method demonstrated in Example 5 to find the determinant of the matrix. [387054816]arrow_forwardFind a Determinant In Exercises 19-32, use expansion by cofactors to find the determinant of the matrix [246031005]arrow_forward
- Solving an Equation In Exercises 49-52, find the values of for which the determinant is zero. |0103222|arrow_forwardFinding the Determinant of an Elementary Matrix In Exercises 3942, find the determinant of the elementary matrix. Assumek0. [100k10001]arrow_forwardFinding Determinants In Exercises 27 and 28, find a |A|and b |A-1|. A=[213204150]arrow_forward
- Finding the Determinant of an Elementary Matrix In Exercises 3942, find the determinant of the elementary matrix. Assumek0. [001010100]arrow_forwardThe Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its determinant. Verify your result by finding |A| and then applying the formula from Theorem 3.8, |A1|=1|A|. A=[223112303]arrow_forwardTrue or False? In Exercises 75-78, determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text. (a) In Cramers Rule, the value of xi is the quotient of two determinants, where the numerator is the determinant of the coefficient matrix. (b) Three point (x1,y1), (x2,y2) and (x3,y3) are collinear when the determinant of the matrix that the coordinate as entries in the first two columns and 1s as entries in the third column is nonzero.arrow_forward
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