[x-4 Let A = -3 -6 -71 [1 3 0 x+1 -3 10 and B = 3 0 0 Lo a) Find values of x for which the matrix A is singular. b) Find a matrix X such that (A-1)TX = B if x = −1. c) Is the linear system has unique solution at x = −5. Justify.

[x-4 Let A = -3 -6 -71 [1 3 0 x+1 -3 10 and B = 3 0 0 Lo a) Find values of x for which the matrix A is singular. b) Find a matrix X such that (A-1)TX = B if x = −1. c) Is the linear system has unique solution at x = −5. Justify.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 29CM

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Question

please solve it q4

[x-4
-6
-71
[1 3
Let A
= -3
0
x + 1
10 and B3
0
-3
0
Lo
a) Find values of x for which the matrix A is singular.
b) Find a matrix X such that (A-1)TX = B if x = −1.
c) Is the linear system has unique solution at x = -5. Justify.

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Step 2: Find the value of x for which matrix A is singular

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Step 3: Find matrix X

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Step 4: Find if the system has unique solution at x=-5

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