If A= [ array ccc 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ], 10 B= [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ] and B is the inverse of A , then the value of is

Step-by-step solution

Given, A= [ array ccc 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ] and 10 B= [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ] Since, B is the inverse of A , i.e. B=A⁻¹ So, 10 A⁻¹= [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ] 10 A⁻¹ A= [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ] A 10 I= [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ] [ array ccc 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ] [ array ccc 10 & 0 & 0 0 & 10 & 0 0 & 0 & 10 array ]= [ array ccc 10 & 0 & 0 -5+ & 5+ & -5+ 0 & 0 & 10 array ] -5+ =0 =5 Alt