If A and B are non-singular matrices, then - Vidyadip

MCQ

If $A$ and $ B $ are non-singular matrices, then

A
${(AB)^{ - 1}} = {A^{ - 1}}{B^{ - 1}}$
B
$AB = BA$
C
$(AB)' = A'B'$
✓
${(AB)^{ - 1}} = {B^{ - 1}}{A^{ - 1}}$

✓

Answer

Correct option: D.

${(AB)^{ - 1}} = {B^{ - 1}}{A^{ - 1}}$

d
(d)${(AB)^{ - 1}} = {B^{ - 1}}{A^{ - 1}}$.

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