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

MCQ

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

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

✓

Answer

Correct option: D.

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

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

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