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प्रश्न
Which identity is used to replace \[(A^T)^T\] by \[A\] when proving that \[A+A^T\] is symmetric?
पर्याय
\[(A+A^T)^T=-A\]
\[(A^T)^T=A\]
\[(A^T)^T=-A\]
\[(A-A^T)^T=A\]
MCQ
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उत्तर
Taking the transpose twice returns the original matrix. Hence \[(A^T)^T=A\], which allows \[A^T+(A^T)^T\] to become \[A^T+A\].
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