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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 and B = 0

B

|A| = 0 and |B| = 0

C

Either |A| = 0 or |B| = 0

D

Either A = 0 or B = 0

Text Solution

Verified by Experts

The correct Answer is:
D
If AB = 0, then it may be concluded that either A = 0 or B = 0
But, it should be noticed that it is not necessary that either A = 0 or B = 0.
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