HomeTextbook AnswersMathAlgebraAlgebra and Trigonometry 10th EditionChapter 10 - 10.1 - Matrices and Systems of Equations - 10.1 Exercises - Page 71177
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by Cengage Learning
Prerequisites Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 619 Chapter 9 Cha658pter 9 Chapter 10 Chapter 11 Chapter 11824 Appendix A 10.1 - Matrices and Systems of Equations - 10.1 Exercises 10.1 - Matrices and Systems of Equations - 10.1 Exercises 10.1 - Matrices and Systems of Equations - 10.1 Exercises 10.1 - Matrices and Systems of Equations - 10.1 Exercises 10.2 - Operations with Matrices - 10.2 Exercises 10.2 - Operations with Matrices - 10.2 Exercises 10.2 - Operations with Matrices - 10.2 Exercises 10.2 - Operations with Matrices - 10.2 Exercises 10.3 - The Inverse of a Square Matrix - 10.3 Exercises 10.3 - The Inverse of a Square Matrix - 10.3 Exercises 10.3 - The Inverse of a Square Matrix - 10.3 Exercises 10.4 - The Determinant of a Square Matrix - 10.4 Exercises 10.4 - The Determinant of a Square Matrix - 10.4 Exercises 10.4 - The Determinant of a Square Matrix - 10.4 Exercises 10.5 - Applications of Matrices and Determinants - 10.5 Exercises 10.5 - Applications of Matrices and Determinants - 10.5 Exercises 10.5 - Applications of Matrices and Determinants - 10.5 Exercises Review Exercises Review Exercises Review Exercises Review Exercises Chapter Test P.S. Problem Solving P.S. Problem Solving 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
Chapter 10 - 10.1 - Matrices and Systems of Equations - 10.1 Exercises - Page 711: 77
x = 7 y = -3 z = 4
NOTE: Gauss-Jordan elimination will reduce until the matrix is in reduced row-echelon form. $\begin{bmatrix} -1 & 1 & -1 & |-14\\ 2 & -1 & 1 & |21\\ 3 & 2 & 1 & |19\\ \end{bmatrix}$ ~ $\begin{bmatrix} -1 & 1 & -1 & |-14\\ 0 & 1 & -1 & |-7\\ 0 & 5 & -2 & |-23\\ \end{bmatrix}$ ~ $\begin{bmatrix} -1 & 1 & -1 & |-14\\ 0 & 1 & -1 & |-7\\ 0 & 0 & 3 & |12\\ \end{bmatrix}$ ~ $\begin{bmatrix} -1 & 1 & -1 & |-14\\ 0 & 1 & -1 & |-7\\ 0 & 0 & 1 & |4\\ \end{bmatrix}$ ~ $\begin{bmatrix} -1 & 1 & 0 & |-10\\ 0 & 1 & 0 & |-3\\ 0 & 0 & 1 & |4\\ \end{bmatrix}$ ~ $\begin{bmatrix} 1 & -1 & 0 & |10\\ 0 & 1 & 0 & |-3\\ 0 & 0 & 1 & |4\\ \end{bmatrix}$ ~ $\begin{bmatrix} 1 & 0 & 0 & |7\\ 0 & 1 & 0 & |-3\\ 0 & 0 & 1 & |4\\ \end{bmatrix}$ From reduced row-echelon form the solution is simple: x = 7 y = -3 z = 4
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Cha658pter 9
10.1 - Matrices and Systems of Equations - 10.1 Exercises
10.2 - Operations with Matrices - 10.2 Exercises
10.3 - The Inverse of a Square Matrix - 10.3 Exercises
10.4 - The Determinant of a Square Matrix - 10.4 Exercises
10.5 - Applications of Matrices and Determinants - 10.5 Exercises
Review Exercises
P.S. Problem Solving
Chapter 11824