9. Prove that nullity(A) = nullity(AT) if and only if A is a square matrix.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.4: Determinants And Cramer’s Rule
Problem 1E: True or false? det(A) is defined only for a square matrix A.
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9. Prove that nullity(A) :
=
nullity (AT) if and only if A is a square matrix.
Transcribed Image Text:9. Prove that nullity(A) : = nullity (AT) if and only if A is a square matrix.
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