In Exercises 23–26, use the fact that the following two matrices are inverses of each other to solve the system of linear equations. [ 9 0 2 0 − 20 − 9 − 5 5 4 0 1 0 − 4 − 2 − 1 1 ] and [ 1 0 − 2 0 0 1 0 − 5 − 4 0 9 0 0 2 1 − 9 ] { x − 2 z = − 1 y − 5 w = 0 − 4 x + 9 z = 0 2 y + z − 9 w = 1
In Exercises 23–26, use the fact that the following two matrices are inverses of each other to solve the system of linear equations. [ 9 0 2 0 − 20 − 9 − 5 5 4 0 1 0 − 4 − 2 − 1 1 ] and [ 1 0 − 2 0 0 1 0 − 5 − 4 0 9 0 0 2 1 − 9 ] { x − 2 z = − 1 y − 5 w = 0 − 4 x + 9 z = 0 2 y + z − 9 w = 1
Solution Summary: The author calculates the solution to the system of linear equations with the use of x=-9,y=25,z=-4,w=5
In Exercises 5–8, use the definition of to write the matrix equation as a vector equation, or vice versa.
In Exercises 5–8, use the definition of Ax to write the matrix equation as a
vector equation, or vice versa.
5.
5 1 8 4
-2 -7 3 −5
5
-1
3
-2
=
-8
-
[18]
16
Find the inverses of the matrices in Exercises 1–4.
Chapter 2 Solutions
Finite Mathematics & Its Applications (12th Edition)
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