Question

If $A$ is a matrix of order $3\times 3$, then ${\left(A^2\right)}^{-1}$ is equal to

• A. ${\left(-A^2\right)}^2$
• B. $A^2$
• C. ${\left(A^{-1}\right)}^2$
• D. $(-A{)}^{-2}$

Answer 1

Answer: (C)

${\left(A^2\right)}^{-1}={\left(A^{-1}\right)}^2$