[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.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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[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.
Transcribed Image Text:[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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