हिंदी

Which identity represents the transpose of transpose property?

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प्रश्न

Which identity represents the transpose of transpose property?

विकल्प

  • \((A')'=A'\) or \((A^T)^T=A^T\)

  • \((A')'=0\) or \((A^T)^T=I\)

  • \((A')'=A^{-1}\) or \((A^T)^T=A^{-T}\)

  • \((A')'=A\) or \((A^T)^T=A\)

MCQ
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उत्तर

Taking transpose twice gives back the original matrix. Therefore, \((A')'=A\) and equivalently \((A^T)^T=A\).

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