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Question

Assertion :The matrix a0000b0000c0 is a diagonal matrix Reason: A[aij] is a square matrix such that aij=0 for all ij, then A is called diagonal matrix.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect but Reason is correct
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Solution

The correct option is D Assertion is incorrect but Reason is correct
Assertion: A=a0000b0000c0
It is not a diagonal matrix as a diagonal matrix is one that is a square matrix and all the elements aij=0 for all ij
So Assertion is false. And the reason is a true definition of a diagonal matrix, so Reason is true.

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