If for a square matrix A(non-singular) and B, null matrix O, AB = O then?(a) B is a null matrix(b) B is a non singular matrix(c) B is a identitymatrix(d) All of the mentionedI had been asked this question during an interview.My doubt stems from Inverse of Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

If for a square matrix A(non-singular) and B, null matrix O, AB = O th

1.	If for a square matrix A(non-singular) and B, null matrix O, AB = O then?(a) B is a null matrix(b) B is a non singular matrix(c) B is a identitymatrix(d) All of the mentionedI had been asked this question during an interview.My doubt stems from Inverse of Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT answer is (a) B is a null matrix The explanation: Given DET(A) is not equal to zero. A-1 exists, A^-1(AB) = O, B = O.

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