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If a matrix \( \mathrm{A} \) is both symmetric and skewsymmetric, then
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Verified Answer
The correct answer is:
\( \mathrm{A} \) is a zero matrix
For symmetric matrix, we know that:
$A^{T}=A \rightarrow(1)$
For skew-symmetric matrix, we know that:
$A^{T}=-A \rightarrow(2)$
So, $A=-A \Rightarrow A=0$
Therefore, matrix $\mathrm{A}$ is a zero matrix.
$A^{T}=A \rightarrow(1)$
For skew-symmetric matrix, we know that:
$A^{T}=-A \rightarrow(2)$
So, $A=-A \Rightarrow A=0$
Therefore, matrix $\mathrm{A}$ is a zero matrix.
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