Let A be an m x n matrix. Prove that if n is an odd number, then rank(A) = nullity(A).

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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8. Let A be an m x n matrix. Prove that if n is an odd number, then rank(A) # nullity(A).
Transcribed Image Text:8. Let A be an m x n matrix. Prove that if n is an odd number, then rank(A) # nullity(A).
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