Let A be a square matrix of order 3 such that adj ( adj ( adj (A)))= [ array ccc 16 & 0 & 4 5 & 4 & 0 1 & 4 & 3 array ] and det (A) is positive, then which of the following must be correct?

Step-by-step solution

| adj ( adj ( adj A))|=|A|^8=256 |A|=2 adj ( adj ( adj (A)))=| adj A |( adj A )=4( adj A )= [ array ccc 16 & 0 & 4 5 & 4 & 0 1 & 4 & 3 array ] adj (A)= [ array ccc 4 & 0 & 1 5 4 & 1 & 0 1 4 & 1 & 3 4 array ] A⁻¹= [ array ccc 2 & 0 & 1 2 5 8 & 1 2 & 0 1 8 & 1 & 3 8 array ]