If A= [ array ccc & - & 0 & & 0 0 & 0 & 1 array ] , then ( Adj A)⁻¹=

Step-by-step solution

We have, aligned & A= [ array ccc & - & 0 & & 0 0 & 0 & 1 array ] & |A|= ^2 + ^2 =1 aligned Now, | adj A|=|A|^ n-1 =|A|³⁻¹=|A|^2=(1)^2=1 Also, adj ( adj A)=|A|^ n-2 A=|A|³⁻² A=|A| A=A Now, ( adj A)⁻¹= adj ( adj A) | adj A| [ A⁻¹= adj A |A| ] =A Hence, option (c) correct.