Question

State True or False for the statement below:

$(A^3{)}^{-1}=(A^{-1}{)}^3$, where $A$ is a square matrix and $|A|\ne 0$

• A. False
• B. True

Answer 1

The correct option is B True

Answer: a

Since we know that $(A^k{)}^{-1}=(A^{-1}{)}^k$; where $kϵN$

So, $(A^3{)}^{-1}=(A^{-1}{)}^3$

Hence, the given statement is true.