Let B= ( array ccc 2 & 6 & 4 1 & 0 & 1 -1 & 1 & -1 array ) and C= ( array ccc -1 & 0 & 1 1 & 1 & 3 2 & 0 & 2 array ) If a matrix A is such that BAC = I , then A ⁻¹=

Step-by-step solution

aligned & Given BAC =1 & (B A)⁻¹=C & A⁻¹ B⁻¹=C A⁻¹=C B & A⁻¹= [ array ccc -1 & 0 & 1 1 & 1 & 3 2 & 0 & 2 array ] [ array ccc 2 & 6 & 4 1 & 0 & 1 -1 & 1 & -1 array ]= [ array ccc -3 & -5 & -5 0 & 9 & 2 2 & 14 & 6 array ] aligned