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If the matrix AB is a zero matrix, then ...

If the matrix AB is a zero matrix, then which one of the following is correct ?

A

A must be equal to zero matrix or B must be equal to zero matrix.

B

A must be equal to zero matrix and B must be equal to zero matrix.

C

It is not necessary that either A is zero matrix or B is zero matrix.

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
If matrix AB = 0 then it is not necessary that either A is zero matrix of B is zero matrix.
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