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.
Find the general solutions of the systems whose augmented matrices are given in Exercises 7–14.
2. Assume that all the operations are properly defined, solve the following equation for
the unknown matrix X:
((A+X)" – 1) = B
Use the result to evaluate X using the matrices A
and
6
-2
B =
Chapter 2 Solutions
Finite Mathematics & Its Applications (12th Edition)
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