हिंदी

If \(B\) is the inverse of \(A\), which statement must also be true?

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प्रश्न

If \(B\) is the inverse of \(A\), which statement must also be true?

विकल्प

  • \(A\) is also the inverse of \(B\).

  • \(B\) is the identity matrix.

  • \(A\) does not possess an inverse.

  • \(A\) is a rectangular matrix.

MCQ
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उत्तर

If \(B=A^{-1}\), then \(AB=BA=I\). These same two equalities show that \(A\) is the inverse of \(B\), so \(A=B^{-1}\).

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