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Diagonal Matrix

Let A=[aij] i...

Question

Let $A = [a_{i j}]$ is a diagonal matrix of order $4$ and $k$ is the possible number of zeros in $A .$ Then $k$ can be

16

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13

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14

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12

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Solution

The correct option is D $12$
$A = [a_{i j}]$ is a diagonal matrix of order $(n) = 4$
So, maximum number of Zeros are $n^{2} - 1 = 16 - 1 = 15$ and
minimum number of zeros are $n^{2} - n = 16 - 4 = 12$
$∴ k \in {12, 13, 14, 15}$

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