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# True or False: $(A^3)^{-1}=(A^{-1})^3$,where A is a square matrix and $|\;A\;|\neq 0$

• $A^{-1}=\frac{1}{|A|}(adj A)$
• If a non singular matrix of order n,then $(A^n)^{-1}=(A^{-1})^n$
$(A^n)^{-1}=(A^{-1})^n$
Therefore $(A^3)^{-1}=(A^{-1})^3$