College Algebra & Trigonometry - Standalone book
1st Edition
ISBN: 9780078035623
Author: Julie Miller, Donna Gerken
Publisher: McGraw-Hill Education
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Chapter 10, Problem 59RE
To determine
To calculate:
The solution set of the system of equations,
Using the inverse of coefficient matrix
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Q2:- A/ Solve the linear equation by inverse of matrix
X+2X,+2X=1
X+3X+X 4
X,+3X,+2X,-3
Convert the augmented matrix
4
-1
-4
888
=
-1
-4
5
0
-2
to the equivalent linear system. Use x1 and x2 to enter the variables ₁ and ₂.
uSep 16
+ :
Write down the steps for solving the system of equations using inverses of matrices. You do
not have to actually solve the system. Just write down the steps. You can use A to refer
to the coefficient matrix, X to refer to the column matrix of the unknowns, and B to refer
to the column matrix of the constant terms.
a11x + a12Y = b1
a21x + b22y = b2
If the coefficient matrix is singular, what does that tell you about the solution set? Select
all that apply: (A) one unique solution (B) dependent solution (C) inconsistent.
Chapter 10 Solutions
College Algebra & Trigonometry - Standalone book
Ch. 10.1 - Solve the equation and check the solution....Ch. 10.1 - Prob. R.2PECh. 10.1 - Prob. R.3PECh. 10.1 - Prob. R.4PECh. 10.1 - Prob. 1PECh. 10.1 - Prob. 2PECh. 10.1 - Explain the meaning of the notation R2R3.Ch. 10.1 - Prob. 4PECh. 10.1 - Prob. 5PECh. 10.1 - Prob. 6PE
Ch. 10.1 - Prob. 7PECh. 10.1 - Explain the meaning of the notation 4R2+R3R3.Ch. 10.1 - Prob. 9PECh. 10.1 - Prob. 10PECh. 10.1 - For Exercises 9-14, write the augmented matrix for...Ch. 10.1 - Prob. 12PECh. 10.1 - Prob. 13PECh. 10.1 - Prob. 14PECh. 10.1 - Prob. 15PECh. 10.1 - Prob. 16PECh. 10.1 - For Exercises 15-20, write a system of linear...Ch. 10.1 - Prob. 18PECh. 10.1 - Prob. 19PECh. 10.1 - Prob. 20PECh. 10.1 - Prob. 21PECh. 10.1 - Prob. 22PECh. 10.1 - For Exercises 21-26, perform the elementary row...Ch. 10.1 - Prob. 24PECh. 10.1 - Prob. 25PECh. 10.1 - Prob. 26PECh. 10.1 - Prob. 27PECh. 10.1 - Prob. 28PECh. 10.1 - Prob. 29PECh. 10.1 - Prob. 30PECh. 10.1 - Prob. 31PECh. 10.1 - Prob. 32PECh. 10.1 - Prob. 33PECh. 10.1 - Prob. 34PECh. 10.1 - For Exercises 33-36, determine if the matrix is in...Ch. 10.1 - Prob. 36PECh. 10.1 - Prob. 37PECh. 10.1 - Prob. 38PECh. 10.1 - Prob. 39PECh. 10.1 - Prob. 40PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 42PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 44PECh. 10.1 - Prob. 45PECh. 10.1 - Prob. 46PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 48PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 50PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 52PECh. 10.1 - Prob. 53PECh. 10.1 - Prob. 54PECh. 10.1 - Prob. 55PECh. 10.1 - Prob. 56PECh. 10.1 - Prob. 57PECh. 10.1 - Prob. 58PECh. 10.1 - Prob. 59PECh. 10.1 - Prob. 60PECh. 10.1 - Prob. 61PECh. 10.1 - Prob. 62PECh. 10.1 - For Exercises 61-64, set up a system of linear...Ch. 10.1 - Prob. 64PECh. 10.1 - Prob. 65PECh. 10.1 - Prob. 66PECh. 10.1 - Prob. 67PECh. 10.1 - Prob. 68PECh. 10.1 - Prob. 69PECh. 10.1 - Prob. 70PECh. 10.1 - Prob. 71PECh. 10.1 - Prob. 72PECh. 10.1 - Prob. 73PECh. 10.1 - Prob. 74PECh. 10.1 - Prob. 75PECh. 10.1 - Prob. 76PECh. 10.2 - Prob. R.1PECh. 10.2 - Prob. R.2PECh. 10.2 - Prob. R.3PECh. 10.2 - Prob. R.4PECh. 10.2 - Prob. 1PECh. 10.2 - Prob. 2PECh. 10.2 - Prob. 3PECh. 10.2 - Prob. 4PECh. 10.2 - Prob. 5PECh. 10.2 - Prob. 6PECh. 10.2 - Prob. 7PECh. 10.2 - Prob. 8PECh. 10.2 - Prob. 9PECh. 10.2 - Prob. 10PECh. 10.2 - Prob. 11PECh. 10.2 - Prob. 12PECh. 10.2 - Prob. 13PECh. 10.2 - Prob. 14PECh. 10.2 - Prob. 15PECh. 10.2 - Prob. 16PECh. 10.2 - Prob. 17PECh. 10.2 - Prob. 18PECh. 10.2 - Prob. 19PECh. 10.2 - Prob. 20PECh. 10.2 - Prob. 21PECh. 10.2 - Prob. 22PECh. 10.2 - Prob. 23PECh. 10.2 - Prob. 24PECh. 10.2 - For Exercises 19-38, solve the system by using...Ch. 10.2 - For Exercises 19-38, solve the system by using...Ch. 10.2 - Prob. 27PECh. 10.2 - Prob. 28PECh. 10.2 - Prob. 29PECh. 10.2 - Prob. 30PECh. 10.2 - For Exercises 19-38, solve the system by using...Ch. 10.2 - Prob. 32PECh. 10.2 - Prob. 33PECh. 10.2 - Prob. 34PECh. 10.2 - Prob. 35PECh. 10.2 - Prob. 36PECh. 10.2 - Prob. 37PECh. 10.2 - Prob. 38PECh. 10.2 - Prob. 39PECh. 10.2 - Prob. 40PECh. 10.2 - Prob. 41PECh. 10.2 - Prob. 42PECh. 10.2 - Prob. 43PECh. 10.2 - Prob. 44PECh. 10.2 - Prob. 45PECh. 10.2 - Prob. 46PECh. 10.2 - Prob. 47PECh. 10.2 - Prob. 48PECh. 10.2 - Prob. 49PECh. 10.2 - A concession stand at a city park sells...Ch. 10.2 - Prob. 51PECh. 10.2 - Prob. 52PECh. 10.2 - Prob. 53PECh. 10.2 - Prob. 54PECh. 10.2 - Prob. 55PECh. 10.2 - Prob. 56PECh. 10.2 - Prob. 57PECh. 10.2 - Prob. 58PECh. 10.2 - Prob. 59PECh. 10.2 - Prob. 60PECh. 10.2 - Prob. 61PECh. 10.2 - Prob. 62PECh. 10.2 - Prob. 63PECh. 10.2 - Prob. 64PECh. 10.2 - Prob. 65PECh. 10.2 - Prob. 66PECh. 10.3 - Identify the additive inverse of 9.Ch. 10.3 - Prob. R.2PECh. 10.3 - Prob. R.3PECh. 10.3 - Prob. 1PECh. 10.3 - A matrix with the same number of rows and columns...Ch. 10.3 - What are the requirements for two matrices to be...Ch. 10.3 - An mn matrix whose elements are all zero is called...Ch. 10.3 - Prob. 5PECh. 10.3 - Prob. 6PECh. 10.3 - True or false: Matrix multiplication is a...Ch. 10.3 - Prob. 8PECh. 10.3 - Prob. 9PECh. 10.3 - Prob. 10PECh. 10.3 - For Exercises 11-16, Give the order of the matrix....Ch. 10.3 - Prob. 12PECh. 10.3 - Prob. 13PECh. 10.3 - Prob. 14PECh. 10.3 - Prob. 15PECh. 10.3 - Prob. 16PECh. 10.3 - Prob. 17PECh. 10.3 - Prob. 18PECh. 10.3 - Prob. 19PECh. 10.3 - Prob. 20PECh. 10.3 - Prob. 21PECh. 10.3 - Prob. 22PECh. 10.3 - Given A=[2xz-5] and B=[y410-5], for what values of...Ch. 10.3 - Prob. 24PECh. 10.3 - Given B=[4693567], find the additive inverse of B.Ch. 10.3 - Prob. 26PECh. 10.3 - For Exercises 27-32, add or subtract the given...Ch. 10.3 - Prob. 28PECh. 10.3 - For Exercises 27-32, add or subtract the given...Ch. 10.3 - Prob. 30PECh. 10.3 - For Exercises 27-32, add or subtract the given...Ch. 10.3 - Prob. 32PECh. 10.3 - Prob. 33PECh. 10.3 - Prob. 34PECh. 10.3 - For Exercises 35-42, use A=[24-91312] and...Ch. 10.3 - Prob. 36PECh. 10.3 - For Exercises 35-42, use A=[24-91312] and...Ch. 10.3 - Prob. 38PECh. 10.3 - For Exercises 35-42, use A=[24-91312] and...Ch. 10.3 - Prob. 40PECh. 10.3 - Prob. 41PECh. 10.3 - Prob. 42PECh. 10.3 - Prob. 43PECh. 10.3 - Prob. 44PECh. 10.3 - Prob. 45PECh. 10.3 - Prob. 46PECh. 10.3 - Prob. 47PECh. 10.3 - Prob. 48PECh. 10.3 - Prob. 49PECh. 10.3 - Prob. 50PECh. 10.3 - Given that E is a 51 matrix arid F is a 15 matrix,...Ch. 10.3 - Prob. 52PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 54PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 56PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 58PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 65PECh. 10.3 - Prob. 66PECh. 10.3 - Prob. 67PECh. 10.3 - Prob. 68PECh. 10.3 - Prob. 69PECh. 10.3 - In matrix C, a coffee shop records the cost to...Ch. 10.3 - A street vendor at a parade sells fresh lemonade,...Ch. 10.3 - Prob. 72PECh. 10.3 - Prob. 73PECh. 10.3 - Prob. 74PECh. 10.3 - The labor costs per hour for an electrician,...Ch. 10.3 - Prob. 76PECh. 10.3 - Prob. 77PECh. 10.3 - Prob. 78PECh. 10.3 - a. Write a matrix A that represents the...Ch. 10.3 - a. Write a matrix A that represents the...Ch. 10.3 - a. Write a matrix A that represents the...Ch. 10.3 - Prob. 82PECh. 10.3 - Prob. 83PECh. 10.3 - Prob. 84PECh. 10.3 - For Exercises 85-86, use the following gray scale....Ch. 10.3 - Prob. 86PECh. 10.3 - Prob. 87PECh. 10.3 - Prob. 88PECh. 10.3 - Prob. 89PECh. 10.3 - Prob. 90PECh. 10.3 - Prob. 91PECh. 10.3 - Prob. 92PECh. 10.3 - Prob. 93PECh. 10.3 - Prob. 94PECh. 10.3 - Prob. 95PECh. 10.3 - Prob. 96PECh. 10.3 - Prob. 97PECh. 10.3 - Prob. 98PECh. 10.3 - Prob. 99PECh. 10.3 - Prob. 100PECh. 10.3 - Prob. 101PECh. 10.3 - Prob. 102PECh. 10.3 - Prob. 103PECh. 10.3 - Prob. 104PECh. 10.4 - Prob. R.1PECh. 10.4 - Prob. R.2PECh. 10.4 - Prob. R.3PECh. 10.4 - Prob. R.4PECh. 10.4 - Prob. 1PECh. 10.4 - Prob. 2PECh. 10.4 - Prob. 3PECh. 10.4 - A matrix that does not have an inverse is called a...Ch. 10.4 - Prob. 5PECh. 10.4 - Prob. 6PECh. 10.4 - Prob. 7PECh. 10.4 - Prob. 8PECh. 10.4 - Prob. 9PECh. 10.4 - Prob. 10PECh. 10.4 - Prob. 11PECh. 10.4 - Prob. 12PECh. 10.4 - Prob. 13PECh. 10.4 - Prob. 14PECh. 10.4 - Prob. 15PECh. 10.4 - Prob. 16PECh. 10.4 - Prob. 17PECh. 10.4 - Prob. 18PECh. 10.4 - Prob. 19PECh. 10.4 - Prob. 20PECh. 10.4 - Prob. 21PECh. 10.4 - Prob. 22PECh. 10.4 - Prob. 23PECh. 10.4 - Prob. 24PECh. 10.4 - Prob. 25PECh. 10.4 - Prob. 26PECh. 10.4 - Prob. 27PECh. 10.4 - Prob. 28PECh. 10.4 - Prob. 29PECh. 10.4 - Prob. 30PECh. 10.4 - For Exercises 19-34, determine the inverse of the...Ch. 10.4 - Prob. 32PECh. 10.4 - Prob. 33PECh. 10.4 - Prob. 34PECh. 10.4 - Prob. 35PECh. 10.4 - Prob. 36PECh. 10.4 - Prob. 37PECh. 10.4 - Prob. 38PECh. 10.4 - Prob. 39PECh. 10.4 - Prob. 40PECh. 10.4 - Prob. 41PECh. 10.4 - Prob. 42PECh. 10.4 - Prob. 43PECh. 10.4 - Prob. 44PECh. 10.4 - Prob. 45PECh. 10.4 - Prob. 46PECh. 10.4 - Prob. 47PECh. 10.4 - Prob. 48PECh. 10.4 - For Exercises 39-50, solve the system by using the...Ch. 10.4 - For Exercises 39-50, solve the system by using the...Ch. 10.4 - Prob. 51PECh. 10.4 - Prob. 52PECh. 10.4 - Prob. 53PECh. 10.4 - Prob. 54PECh. 10.4 - Prob. 55PECh. 10.4 - Prob. 56PECh. 10.4 - Prob. 57PECh. 10.4 - Prob. 58PECh. 10.4 - Prob. 59PECh. 10.4 - Prob. 60PECh. 10.4 - Prob. 61PECh. 10.4 - Prob. 62PECh. 10.4 - Prob. 63PECh. 10.4 - Prob. 64PECh. 10.4 - Prob. 65PECh. 10.4 - Prob. 66PECh. 10.4 - Prob. 67PECh. 10.4 - Prob. 68PECh. 10.4 - Prob. 69PECh. 10.4 - Prob. 70PECh. 10.4 - Prob. 71PECh. 10.4 - For Exercises 72-73, use a graphing calculator and...Ch. 10.4 - Prob. 73PECh. 10.5 - For Exercises R1-R.2, simplify the exponential...Ch. 10.5 - Prob. R.2PECh. 10.5 - Prob. R.3PECh. 10.5 - Prob. 1PECh. 10.5 - Prob. 2PECh. 10.5 - Prob. 3PECh. 10.5 - Prob. 4PECh. 10.5 - Prob. 5PECh. 10.5 - Prob. 6PECh. 10.5 - For Exercises 7-16, evaluate the determinant of...Ch. 10.5 - Prob. 8PECh. 10.5 - Prob. 9PECh. 10.5 - Prob. 10PECh. 10.5 - For Exercises 7-16, evaluate the determinant of...Ch. 10.5 - Prob. 12PECh. 10.5 - Prob. 13PECh. 10.5 - Prob. 14PECh. 10.5 - Prob. 15PECh. 10.5 - Prob. 16PECh. 10.5 - Prob. 17PECh. 10.5 - Prob. 18PECh. 10.5 - Prob. 19PECh. 10.5 - Prob. 20PECh. 10.5 - Prob. 21PECh. 10.5 - Prob. 22PECh. 10.5 - Prob. 23PECh. 10.5 - Prob. 24PECh. 10.5 - Prob. 25PECh. 10.5 - Prob. 26PECh. 10.5 - Prob. 27PECh. 10.5 - Prob. 28PECh. 10.5 - Prob. 29PECh. 10.5 - Prob. 30PECh. 10.5 - Prob. 31PECh. 10.5 - Prob. 32PECh. 10.5 - For Exercises 33-48, solve the system if possible...Ch. 10.5 - Prob. 34PECh. 10.5 - For Exercises 33-48, solve the system if possible...Ch. 10.5 - Prob. 36PECh. 10.5 - Prob. 37PECh. 10.5 - Prob. 38PECh. 10.5 - For Exercises 33-48, solve the system if possible...Ch. 10.5 - Prob. 40PECh. 10.5 - Prob. 41PECh. 10.5 - Prob. 42PECh. 10.5 - Prob. 43PECh. 10.5 - Prob. 44PECh. 10.5 - Prob. 45PECh. 10.5 - Prob. 46PECh. 10.5 - Prob. 47PECh. 10.5 - Prob. 48PECh. 10.5 - Prob. 49PECh. 10.5 - Prob. 50PECh. 10.5 - Prob. 51PECh. 10.5 - Prob. 52PECh. 10.5 - Prob. 53PECh. 10.5 - Prob. 54PECh. 10.5 - Prob. 55PECh. 10.5 - Prob. 56PECh. 10.5 - Prob. 57PECh. 10.5 - Prob. 58PECh. 10.5 - Prob. 59PECh. 10.5 - Given a square matrix A, elementary row operations...Ch. 10.5 - Prob. 61PECh. 10.5 - Prob. 62PECh. 10.5 - Prob. 63PECh. 10.5 - Prob. 64PECh. 10.5 - Prob. 65PECh. 10.5 - Prob. 66PECh. 10.5 - Prob. 67PECh. 10.5 - Prob. 68PECh. 10.5 - Prob. 69PECh. 10.5 - Prob. 70PECh. 10.5 - Prob. 71PECh. 10.5 - Prob. 72PECh. 10.5 - Prob. 73PECh. 10.5 - Prob. 74PECh. 10.5 - Prob. 75PECh. 10.5 - Prob. 76PECh. 10.5 - Prob. 77PECh. 10.5 - Prob. 78PECh. 10.5 - Prob. 79PECh. 10.5 - Prob. 80PECh. 10.5 - Prob. 81PECh. 10.5 - Prob. 82PECh. 10 - For Exercises 1-4, solve the system of equations...Ch. 10 - For Exercises 1-4, solve the system of equations...Ch. 10 - For Exercises 1-4, solve the system of equations...Ch. 10 - Prob. 4PRECh. 10 - For Exercises 5-8, Evaluate the determinant of the...Ch. 10 - Prob. 6PRECh. 10 - For Exercises 5-8, Evaluate the determinant of the...Ch. 10 - For Exercises 5-8, Evaluate the determinant of the...Ch. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 57RECh. 10 - Prob. 58RECh. 10 - Prob. 59RECh. 10 - Prob. 60RECh. 10 - Prob. 61RECh. 10 - Prob. 62RECh. 10 - Prob. 63RECh. 10 - Prob. 64RECh. 10 - Prob. 65RECh. 10 - Prob. 66RECh. 10 - Prob. 67RECh. 10 - Prob. 68RECh. 10 - Prob. 69RECh. 10 - Prob. 70RECh. 10 - Prob. 71RECh. 10 - Prob. 72RECh. 10 - Prob. 73RECh. 10 - Prob. 74RECh. 10 - Prob. 75RECh. 10 - Prob. 76RECh. 10 - Prob. 77RECh. 10 - Prob. 78RECh. 10 - Prob. 1TCh. 10 - Prob. 2TCh. 10 - Prob. 3TCh. 10 - Prob. 4TCh. 10 - Prob. 5TCh. 10 - Prob. 6TCh. 10 - Prob. 7TCh. 10 - Prob. 8TCh. 10 - Prob. 9TCh. 10 - Prob. 10TCh. 10 - Prob. 11TCh. 10 - Prob. 12TCh. 10 - For Exercises 13-16, solve the system by using...Ch. 10 - Prob. 14TCh. 10 - Prob. 15TCh. 10 - Prob. 16TCh. 10 - Prob. 17TCh. 10 - Prob. 18TCh. 10 - Prob. 19TCh. 10 - Prob. 20TCh. 10 - Prob. 21TCh. 10 - Prob. 22TCh. 10 - Prob. 23TCh. 10 - Prob. 24TCh. 10 - Prob. 25TCh. 10 - Prob. 26TCh. 10 - Prob. 27TCh. 10 - Prob. 28TCh. 10 - Prob. 29TCh. 10 - Prob. 30TCh. 10 - Prob. 31TCh. 10 - Prob. 32TCh. 10 - Prob. 1CRECh. 10 - Prob. 2CRECh. 10 - Prob. 3CRECh. 10 - Prob. 4CRECh. 10 - Prob. 5CRECh. 10 - Prob. 6CRECh. 10 - Prob. 7CRECh. 10 - Prob. 8CRECh. 10 - Prob. 9CRECh. 10 - Prob. 10CRECh. 10 - Prob. 11CRECh. 10 - Prob. 12CRECh. 10 - Prob. 13CRECh. 10 - Prob. 14CRECh. 10 - Prob. 15CRECh. 10 - Prob. 16CRECh. 10 - Prob. 17CRECh. 10 - Prob. 18CRECh. 10 - Prob. 19CRECh. 10 - Prob. 20CRECh. 10 - Prob. 21CRECh. 10 - Prob. 22CRECh. 10 - Prob. 23CRECh. 10 - Prob. 24CRECh. 10 - Prob. 25CRECh. 10 - Prob. 26CRECh. 10 - Prob. 27CRECh. 10 - Prob. 28CRECh. 10 - Prob. 29CRECh. 10 - Prob. 30CRE
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