Determinants
Oswaal
CBSE
Grade 12
Question:
If $A$ and $B$ are non-singular matrices of order $n$, then $(A B)^{-1}$ is:
(a) $B^{-1} A^{-1}$
(b) $A^{-1} B^{-1}$
(c) $A B$
(d) $B A$
Step-by-Step Solution
Key Concept: Reversal law for matrix inverse.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $B^{-1} A^{-1}$
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