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Let A and B be matrices of order 3 xx 3....

Let A and B be matrices of order `3 xx 3.` If `AB = 0,` then which of the following can be concluded?

A

A = 0 or B = 0

B

A = 0 and B = 0

C

A and B are non-zero square matrices

D

A and B cannot both be non-singular

Text Solution

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The correct Answer is:
C
Since, AB is defined, neither A nor B is singlular i.e., they are non-zero matrix and if AB = 0 both A and B are square matrix. So, A and B are non-zero square matrices.
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