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Q-3: [x 4 -6 -7 [1 3 Let A = -3 x+1 10 and B3 0 0 -3 0 LO -1 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.

Q-3: [x 4 -6 -7 [1 3 Let A = -3 x+1 10 and B3 0 0 -3 0 LO -1 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)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 80E
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Q-3: [x 4 -6 -7 [1 3 Let A = -3 x+1 10 and B3 0 0 -3 0 LO -1 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:Q-3: [x 4 -6 -7 [1 3 Let A = -3 x+1 10 and B3 0 0 -3 0 LO -1 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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