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) FalseI have been asked this question in an interview.This question is from Transpose of Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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

1.	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) FalseI have been asked this question in an interview.This question is from Transpose of Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» 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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