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 ] a is the inverse of A , then the value of is

Step-by-step solution

We have, A= [ array ccc 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ] and B= 1 10 [ array ccc 4 & 2 & 2 -5 & 0 & 0 1 & -2 & 3 array ] Since, B is inverse of A , then A B=I 1 10 [ array ccc 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ] [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ]= [ array lll 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 array ] [ array ccc 10 & 0 & 5- 0 & 10 & -5 0 & 0 & 5+ array ]= [ array ccc 10 & 0 & 0 0 & 10 & 0 0 & 0 & 10 array ] 5- =0 or -5=0 or 5+ =10 a=5