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B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular. C. Use the value of a and create the homogenous system which correspond to the matrix A in part B. Does this system have a nontrivial solution? Explain your answer.

B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular. C. Use the value of a and create the homogenous system which correspond to the matrix A in part B. Does this system have a nontrivial solution? Explain your answer.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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B. Given the matrix 120 A 0-1 4 52 a Find the value of a for which the matrix is singular. C. Use the value of a and create the homogenous system which correspond to the matrix A in part B. Does this system have a nontrivial solution? Explain your answer.
Transcribed Image Text:B. Given the matrix 120 A 0-1 4 52 a Find the value of a for which the matrix is singular. C. Use the value of a and create the homogenous system which correspond to the matrix A in part B. Does this system have a nontrivial solution? Explain your answer.
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