Let A is a 4 x 4 matrix such that Ar=0 has non trivial solutions. Is the matrix A invertible? Explain your answer.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 4SE: Can a matrix with an entire column of zeros have an inverse? Explain why or why not.
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Let A is a 4 x 4 matrix such that Ar=0 has non trivial solutions. Is the matrix A invertible?
Explain your answer.
Transcribed Image Text:Let A is a 4 x 4 matrix such that Ar=0 has non trivial solutions. Is the matrix A invertible? Explain your answer.
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