Elementary & Intermediate Algebra
4th Edition
ISBN: 9780134556079
Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.
Publisher: Pearson,
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Chapter C.3, Problem 61E
To determine
To solve: The system of equations using matrices.
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a
Question 7. If det d e f
ghi
V3
= 2. Find det
-1
2
Question 8. Let A = 1
4
5
0
3
2.
1 Find adj (A)
2 Find det (A)
3
Find A-1
2g 2h 2i
-e-f
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2a 2b 2c
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?
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?
k
Chapter C Solutions
Elementary & Intermediate Algebra
Ch. C.1 - A___ ___ ___ ___ is a grouping of two or more...Ch. C.1 - A____ of a system of equations consists of values...Ch. C.1 - Prob. 3ECh. C.1 - Prob. 4ECh. C.1 - Prob. 5ECh. C.1 - True or False A system of two linear equations...Ch. C.1 - Prob. 7ECh. C.1 - Prob. 8ECh. C.1 - Prob. 9ECh. C.1 - Prob. 10E
Ch. C.1 - Prob. 11ECh. C.1 - Prob. 12ECh. C.1 - Prob. 13ECh. C.1 - Prob. 14ECh. C.1 - Prob. 15ECh. C.1 - Prob. 16ECh. C.1 - 17.While a system of equations is solved, a false...Ch. C.1 - Prob. 18ECh. C.1 - Prob. 19ECh. C.1 - Prob. 20ECh. C.1 - Prob. 21ECh. C.1 - In Problems 2022, solve the system. Draw a graph...Ch. C.1 - Prob. 23ECh. C.1 - Prob. 24ECh. C.1 - Prob. 25ECh. C.1 - Prob. 26ECh. C.1 - Prob. 27ECh. C.1 - Prob. 28ECh. C.1 - Prob. 29ECh. C.1 - Prob. 30ECh. C.1 - Prob. 31ECh. C.1 - Prob. 32ECh. C.1 - Prob. 33ECh. C.1 - Prob. 34ECh. C.1 - Prob. 35ECh. C.1 - Prob. 36ECh. C.1 - In Problems 3542, solve the system of equations...Ch. C.1 - Prob. 38ECh. C.1 - Prob. 39ECh. C.1 - Prob. 40ECh. C.1 - Prob. 41ECh. C.1 - Prob. 42ECh. C.1 - Prob. 43ECh. C.1 - Prob. 44ECh. C.1 - Prob. 45ECh. C.1 - Prob. 46ECh. C.1 - Prob. 47ECh. C.1 - Prob. 48ECh. C.1 - Prob. 49ECh. C.1 - Prob. 50ECh. C.1 - Prob. 51ECh. C.1 - Prob. 52ECh. C.1 - Prob. 53ECh. C.1 - Prob. 54ECh. C.1 - Prob. 55ECh. C.1 - Prob. 56ECh. C.1 - Prob. 57ECh. C.1 - Prob. 58ECh. C.1 - Prob. 59ECh. C.1 - Prob. 60ECh. C.1 - Prob. 61ECh. C.1 - Prob. 62ECh. C.1 - Prob. 63ECh. C.1 - Prob. 64ECh. C.1 - Prob. 65ECh. C.1 - Prob. 66ECh. C.1 - Prob. 67ECh. C.1 - Prob. 68ECh. C.1 - Prob. 69ECh. C.1 - Prob. 70ECh. C.1 - Prob. 71ECh. C.1 - Prob. 72ECh. C.1 - Prob. 73ECh. C.1 - Prob. 74ECh. C.1 - Prob. 75ECh. C.1 - Prob. 76ECh. C.1 - Prob. 77ECh. C.1 - Prob. 78ECh. C.1 - Prob. 79ECh. C.1 - Centroid The medians of a triangle are the line...Ch. C.1 - Prob. 81ECh. C.1 - Prob. 82ECh. C.1 - Prob. 83ECh. C.1 - Prob. 84ECh. C.1 - In this section, we presented two algebraic...Ch. C.1 - Prob. 86ECh. C.1 - Prob. 87ECh. C.1 - In the process of solving a system of linear...Ch. C.1 - Prob. 89ECh. C.1 - Prob. 90ECh. C.1 - Prob. 91ECh. C.1 - Prob. 92ECh. C.1 - Prob. 93ECh. C.1 - Prob. 94ECh. C.1 - Prob. 95ECh. C.1 - Prob. 96ECh. C.2 - Prob. 1ECh. C.2 - A _______ to a system of equations consists of...Ch. C.2 - Prob. 3ECh. C.2 - Prob. 4ECh. C.2 - Prob. 5ECh. C.2 - Prob. 6ECh. C.2 - Prob. 7ECh. C.2 - Prob. 8ECh. C.2 - Prob. 9ECh. C.2 - Prob. 10ECh. C.2 - Prob. 11ECh. C.2 - Prob. 12ECh. C.2 - Prob. 13ECh. C.2 - Prob. 14ECh. C.2 - Prob. 15ECh. C.2 - Prob. 16ECh. C.2 - Prob. 17ECh. C.2 - Prob. 18ECh. C.2 - Prob. 19ECh. C.2 - Prob. 20ECh. C.2 - Prob. 21ECh. C.2 - Prob. 22ECh. C.2 - Prob. 23ECh. C.2 - Prob. 24ECh. C.2 - Prob. 25ECh. C.2 - Prob. 26ECh. C.2 - Prob. 27ECh. C.2 - Prob. 28ECh. C.2 - Prob. 29ECh. C.2 - Prob. 30ECh. C.2 - Prob. 31ECh. C.2 - Prob. 32ECh. C.2 - Prob. 33ECh. C.2 - Prob. 34ECh. C.2 - Prob. 35ECh. C.2 - Prob. 36ECh. C.2 - Prob. 37ECh. C.2 - Prob. 38ECh. C.2 - Prob. 39ECh. C.2 - Prob. 40ECh. C.2 - Prob. 41ECh. C.2 - Prob. 42ECh. C.2 - Prob. 43ECh. C.2 - Prob. 44ECh. C.2 - Prob. 45ECh. C.2 - Prob. 46ECh. C.2 - Prob. 47ECh. C.2 - Prob. 48ECh. C.2 - Prob. 49ECh. C.2 - Prob. 50ECh. C.2 - Prob. 51ECh. C.2 - Prob. 52ECh. C.2 - Prob. 53ECh. C.2 - Prob. 54ECh. C.2 - Prob. 55ECh. C.2 - Prob. 56ECh. C.2 - Prob. 57ECh. C.2 - Prob. 58ECh. C.2 - Prob. 59ECh. C.3 - Prob. 1ECh. C.3 - Prob. 2ECh. C.3 - Prob. 3ECh. C.3 - Prob. 4ECh. C.3 - Prob. 5ECh. C.3 - Prob. 6ECh. C.3 - Prob. 7ECh. C.3 - Prob. 8ECh. C.3 - Prob. 9ECh. C.3 - Prob. 10ECh. C.3 - Prob. 11ECh. C.3 - Prob. 12ECh. C.3 - Prob. 13ECh. C.3 - In Problems 13 and 14, solve each system of...Ch. C.3 - Prob. 15ECh. C.3 - Prob. 16ECh. C.3 - Prob. 17ECh. C.3 - Prob. 18ECh. C.3 - Prob. 19ECh. C.3 - Prob. 20ECh. C.3 - Prob. 21ECh. C.3 - Prob. 22ECh. C.3 - Prob. 23ECh. C.3 - Prob. 24ECh. C.3 - Prob. 25ECh. C.3 - Prob. 26ECh. C.3 - Prob. 27ECh. C.3 - Prob. 28ECh. C.3 - Prob. 29ECh. C.3 - Prob. 30ECh. C.3 - Prob. 31ECh. C.3 - Prob. 32ECh. C.3 - Prob. 33ECh. C.3 - Prob. 34ECh. C.3 - Prob. 35ECh. C.3 - Prob. 36ECh. C.3 - Prob. 37ECh. C.3 - Prob. 38ECh. C.3 - Prob. 39ECh. C.3 - Prob. 40ECh. C.3 - Prob. 41ECh. C.3 - In Problems 39-44, solve each system of equations...Ch. C.3 - Prob. 43ECh. C.3 - Prob. 44ECh. C.3 - Prob. 45ECh. C.3 - Prob. 46ECh. C.3 - Prob. 47ECh. C.3 - Prob. 48ECh. C.3 - Prob. 49ECh. C.3 - Prob. 50ECh. C.3 - Prob. 51ECh. C.3 - Prob. 52ECh. C.3 - Prob. 53ECh. C.3 - Prob. 54ECh. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - Prob. 57ECh. C.3 - Prob. 58ECh. C.3 - Prob. 59ECh. C.3 - Prob. 60ECh. C.3 - Prob. 61ECh. C.3 - Prob. 62ECh. C.3 - Prob. 63ECh. C.3 - Prob. 64ECh. C.3 - Prob. 65ECh. C.3 - Prob. 66ECh. C.3 - In Problems 57-78, solve each system of equations...Ch. C.3 - Prob. 68ECh. C.3 - Prob. 69ECh. C.3 - Prob. 70ECh. C.3 - Prob. 71ECh. C.3 - Prob. 72ECh. C.3 - Prob. 73ECh. C.3 - Prob. 74ECh. C.3 - Prob. 75ECh. C.3 - Prob. 76ECh. C.3 - Prob. 77ECh. C.3 - In Problems 45-50, solve each system of equations...Ch. C.3 - Prob. 79ECh. C.3 - Prob. 80ECh. C.3 - Finance Carissa has 20,000 to invest. Her...Ch. C.3 - Prob. 82ECh. C.3 - Prob. 83ECh. C.3 - Prob. 84ECh. C.3 - Prob. 85ECh. C.3 - Prob. 86ECh. C.3 - Prob. 87ECh. C.3 - Prob. 88ECh. C.3 - Prob. 89ECh. C.3 - Prob. 90ECh. C.3 - Graphing calculators have the ability to solve...Ch. C.3 - Prob. 92ECh. C.3 - Prob. 93ECh. C.3 - Graphing calculators have the ability to solve...Ch. C.4 - D = |abcd| = _____________.Ch. C.4 - Prob. 2ECh. C.4 - Prob. 3ECh. C.4 - Prob. 4ECh. C.4 - Prob. 5ECh. C.4 - In Problems 5 and 6, use Cramers Rule to solve the...Ch. C.4 - Prob. 7ECh. C.4 - Prob. 8ECh. C.4 - Prob. 9ECh. C.4 - Prob. 10ECh. C.4 - Prob. 11ECh. C.4 - Prob. 12ECh. C.4 - Prob. 13ECh. C.4 - Prob. 14ECh. C.4 - Prob. 15ECh. C.4 - Prob. 16ECh. C.4 - Prob. 17ECh. C.4 - Prob. 18ECh. C.4 - In Problems 15-22, solve each system of equations...Ch. C.4 - Prob. 20ECh. C.4 - Prob. 21ECh. C.4 - Prob. 22ECh. C.4 - Prob. 23ECh. C.4 - Prob. 24ECh. C.4 - Prob. 25ECh. C.4 - Prob. 26ECh. C.4 - Prob. 27ECh. C.4 - Prob. 28ECh. C.4 - Prob. 29ECh. C.4 - Prob. 30ECh. C.4 - Prob. 31ECh. C.4 - Prob. 32ECh. C.4 - Prob. 33ECh. C.4 - Prob. 34ECh. C.4 - Prob. 35ECh. C.4 - Prob. 36ECh. C.4 - Prob. 37ECh. C.4 - Prob. 38ECh. C.4 - Prob. 39ECh. C.4 - Prob. 40ECh. C.4 - Prob. 41ECh. C.4 - Prob. 42ECh. C.4 - Prob. 43ECh. C.4 - Prob. 44ECh. C.4 - Prob. 45ECh. C.4 - Prob. 46ECh. C.4 - Prob. 47ECh. C.4 - Prob. 48ECh. C.4 - Problems 4750, use the following result....Ch. C.4 - Prob. 50ECh. C.4 - Prob. 51ECh. C.4 - Prob. 52ECh. C.4 - Prob. 53ECh. C.4 - Prob. 54ECh. C.4 - Prob. 55ECh. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 57ECh. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 59ECh. C.4 - Prob. 60E
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