For non-singular square matrix A, B and C of the same order (AB^ … - Vidyadip

MCQ

For non-singular square matrix $A, B$ and $C$ of the same order $(AB^{-1} C) =$

A
$A^{-1} BC^{-1}$
B
$C^{-1} B^{-1} A^{-1}$
C
$CBA^{-1}$
✓
$C^{-1} BA^{-1}$

✓

Answer

Correct option: D.

$C^{-1} BA^{-1}$

We know that $(AB)^{-1} = B^{-1} A^{-1}$
Hence, $(AB^{-1}C)^{-1} = C^{-1}BA^{-1}$

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