If A= [ array ll 2 & 2 3 & 4 array ] , then A⁻¹ equals to

Step-by-step solution

aligned & Given, A= [ array ll 2 & 2 3 & 4 array ] & |A|= | array ll 2 & 2 3 & 4 array |=2 4-3 2=8-6=2 aligned Now, A₁₁=4, A₁₂=-3, A₂₁=-2 and A₂₂=2 aligned a d j_A & = [ array cc 4 & -3 -2 & 2 array ]^T= [ array cc 4 & -2 -3 & 2 array ] A⁻¹ & = 1 |A| adj A= 1 2 [ array cc 4 & -2 -3 & 2 array ] & = [ array cc 2 & -1 -3 / 2 & 1 array ] aligned