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Questions  >>  CBSE XII  >>  Math  >>  Matrices
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Q)

Matrices $A$ and $B$ will be inverse of each other only if

$ \begin{array}{l l} (A) \; AB = BA & (B) \; AB = BA = 0 \\ (C) \; AB = 0, BA = I & (D) \; AB = BA = I \end{array} $

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A)
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  • If we multiply a matrix with its inverse, the resulting matrix will be an identity matrix.
Step 1: Matrices A & B will be inverse of each other only if \[AB=BA=I\]
Hence (D) is the right option.

 

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