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If \(A^{-1}=B\), what is \(B^{-1}\)?

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Question

If \(A^{-1}=B\), what is \(B^{-1}\)?

Options

  • \[B^{-1}=B\]

  • \[B^{-1}=I\]

  • \[B^{-1}=O\]

  • \[B^{-1}=A\]

MCQ
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Solution

When \[A^{-1}=B,\] the matrices \(A\) and \(B\) are inverses of each other. Therefore, the inverse of \(B\) is \[B^{-1}=A.\]

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