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Question
Which identity is satisfied by a matrix \(A\) and its inverse \(A^{-1}\)?
Options
\[AA^{-1}=A^{-1}A=O\]
\[AA^{-1}=A^{-1}A=I\]
\[AA^{-1}=A-A^{-1}\]
\[AA^{-1}=A+A^{-1}\]
MCQ
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Solution
An inverse matrix reverses the matrix operation represented by \(A\). Multiplication in either order gives the identity matrix \[I.\]
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