If (B A)⁻¹=C where 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 ] , then A⁻¹ is given by

Step-by-step solution

(B A)⁻¹=C aligned & A⁻¹ B⁻¹=C & A⁻¹ B⁻¹ B=C B & 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