If A= [ array ll 1 & 2 3 & 4 array ] and X is a 2 2 matrix such that A X=1 , then X=

Step-by-step solution

aligned A= [ array ll 1 & 2 3 & 4 array ] & and A X=I X=A⁻¹ A⁻¹ &= 1 4-6 [ array cc 4 & -2 -3 & 1 array ] &= 1 -2 [ array cc 4 & -2 -3 & 1 array ]= [ array cc -2 & 1 3 2 & -1 2 array ] aligned