Consider the matrix 1 2 A = 1 3 4 -3 8. (a) Is A invertible? If so, compute its inverse. If not, explain why. (b) Find a solution x E R° to the linear system Ax 1 (c) Is the solution you found unique? Explain why or why not.

Consider the matrix 1 2 A = 1 3 4 -3 8. (a) Is A invertible? If so, compute its inverse. If not, explain why. (b) Find a solution x E R° to the linear system Ax 1 (c) Is the solution you found unique? Explain why or why not.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.2: Multiplicative Inverses

Problem 41PS

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I solved part (a) and found the inverse to be

-9/2	7	-3/2
-2	4	-1
3/2	-2	1/2

Consider the matrix
1
2
A =
1
3
4
-3
8.
(a) Is A invertible? If so, compute its inverse. If not, explain why.
(b) Find a solution x E R° to the linear system
Ax
1
(c) Is the solution you found unique? Explain why or why not.

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