Assertion : $T r (A) = 0$ Reason: $| A | = 0$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
The matrix satisfying given condition is
$a_{11} = a_{22} = 0$
$a_{12} = a_{21} = 1$
Both the conditions are correct but if $| A | = 0$ doesnot guarantee that $T r (A)$ should also be $0$

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