If A and B are two matrices such that their product AB is a null matrix, thenA. det `A ne 0 rArr B` must be a null matrixB. det `B ne 0 rArr A ` must be a null matrixC. alteast one of the two matrices must be singularD. if neither det A nor det B is zero, then the given statement is not possible

If A and B are two matrices such that their product AB is a null matri

1.	If A and B are two matrices such that their product AB is a null matrix, thenA. det `A ne 0 rArr B` must be a null matrixB. det `B ne 0 rArr A ` must be a null matrixC. alteast one of the two matrices must be singularD. if neither det A nor det B is zero, then the given statement is not possible
Answer» Correct Answer - C::D `because AB = 0 ` ` rArr abs(AB) = 0 rArr abs(A) abs(B) = 0` or (det A) (det B) = 0 rArr Either det ` A = 0 or det B - 0` Hence, atleast one of the two matrices must be singular otherwise this statement is not possible.

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If A and B are two matrices such that their product AB is a null matrix, thenA. det `A ne 0 rArr B` must be a null matrixB. det `B ne 0 rArr A ` must be a null matrixC. alteast one of the two matrices must be singularD. if neither det A nor det B is zero, then the given statement is not possible

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