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If a matrix $A$ is symmetric as well as anti-symmetric, then which one of the following is correct?
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The correct answer is:
$A$ is a null matrix
Since, matrix $\mathrm{A}$ is symmetric and anti-symmetric therefore
$A^{\prime}=A$ and $A^{\prime}=-A$
$\Rightarrow A=-A \Rightarrow 2 A=0$
$\Rightarrow A$ is a null matrix
$A^{\prime}=A$ and $A^{\prime}=-A$
$\Rightarrow A=-A \Rightarrow 2 A=0$
$\Rightarrow A$ is a null matrix
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