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If $A$ and $B$ are two $3 x 3$ matrices and $| A | \neq 0,$ , then which of the following are not true?

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|AB|=0⇒|B|=0

|AB|≠0⇒|B|≠0

A−1=|A|−1

|A+A|=2|A|

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detailed solution

Correct option is D

Choice (d) is not true as |A+A|=|2A|=8|A|

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If A and B are two 3x3matrices and |A|≠0,, then which of the following are not true?

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Ready to Test Your Skills?

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If $A$ and $B$ are two $3 x 3$ matrices and $| A | \neq 0,$ , then which of the following are not true?