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If for a square matrix A and B,null matrix O, (AB)^T = O implies A^T = O and B^T = O.

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If for a square matrix A and B,null matrix O, (AB)^T = O implies A^T = O and B^T = O.

(a) True

(b) False

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This question is from Transpose of Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Correct option is (b) False

Explanation: Let A=[0 1 0 0 ], B=[1 0 0 0 ] AB=O and B, A^T, B^T is not equal to O.

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