Question

$A$ and $B$ be $3\times 3$ matrices. Then $|A-B|=0$ implies

• A. $A=OorB=O$
• B. $|A|=0and|B|=0$
• C. $|A|=0or|B|=0$
• D. none of these

Answer 1

The correct option is D none of these

Nothing can be said if, $|A-B|=0$
Even if $A$ and $B$ are non-equal and non-zero $|A-B|$ could be zero.
Hence option 'D' is correct choice.