In Exercises 19–22, use the fact that the following two matrices are inverses of each other to solve the system of linear equations. [ 1 2 2 1 3 2 1 2 3 ] and [ 5 − 2 − 2 − 1 1 0 − 1 0 1 ] { 5 x − 2 y − 2 z = 0 − x + y = 1 − x + z = 2
In Exercises 19–22, use the fact that the following two matrices are inverses of each other to solve the system of linear equations. [ 1 2 2 1 3 2 1 2 3 ] and [ 5 − 2 − 2 − 1 1 0 − 1 0 1 ] { 5 x − 2 y − 2 z = 0 − x + y = 1 − x + z = 2
Solution Summary: The author calculates the solution set for the system of linear equations c5x-2y-2z=0 -x+
In Exercises 11–14, solve the systems of equations in Z7.
Solve each system in Exercises 1–4 by using elementary rowoperations on the equations or on the augmented matrix. Followthe systematic elimination procedure described in this section.. x1 + 5x2 =7 - 2x1- 7x2 = -5
In Exercises 15–16, solve each system using matrices.
15. (2x + y = 6
13x – 2y = 16
x - 4y + 4z = -1
2х — у + 52
16.
-x + 3y - z =
Chapter 2 Solutions
Finite Mathematics & Its Applications (12th Edition)
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