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If for a square matrix A and B, null matrix O, AB = O implies BA=O.

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If for a square matrix A and B, null matrix O, AB = O implies BA=O.

(a) True

(b) False

This question was addressed to me by my school teacher while I was bunking the class.

My enquiry is from Properties of Matrices in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Correct option is (b) False

Easiest explanation: Let A = [0 1 0 0], B = [1 0 0 0]AB=O and BA is not equal to O.

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