Question:
If \(A\) and \(B\) are two matrices such that \(AB\) is defined and \(AB = A\), then \(B\) is:
If \(A\) and \(B\) are two matrices such that \(AB\) is defined and \(AB = A\), then \(B\) is:
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Identity matrix leaves a matrix unchanged on multiplication.
Updated On: Jan 5, 2026
- Identity matrix
- Null matrix
- Unit matrix
- Inverse of \(A\)
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The Correct Option is A
Solution and Explanation
\[
AB = A \Rightarrow A(B-I)=0
\]
For non-zero \(A\), \(B = I\).
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