If A= [ array ll -2 & 2 -3 & 2 array ], B= [ array cc 0 & -1 1 & 0 array ] , then (B⁻¹ A⁻¹ )⁻¹ is equal to

Step-by-step solution

aligned & A⁻¹= 1 2 [ array cc 3 & -2 -2 & 2 array ], B⁻¹= [ array cc 0 & 1 -1 & 0 array ] & B⁻¹ A⁻¹= 1 2 [ array cc 0 & 1 -1 & 0 array ] [ array cc 2 & -2 3 & -2 array ] &= 1 2 [ array cc 3 & -2 -2 & 2 array ]= [ array cc 3 2 & -1 -1 & 1 array ] & (B⁻¹ A⁻¹ )⁻¹=2 [ array cc 1 & 1 1 & 3 2 array ]= [ array ll 2 & 2 2 & 3 array ] aligned