Find the inverse of each of the matrices given below.
Here,
We have to find A-1 and
Firstly, we find the adj A and for that we have to find co-factors:
a11 (co – factor of 2) = (-1)1+1(6) = (-1)2(6) = 6
a12 (co – factor of -3) = (-1)1+2(4) = (-1)3(4) = -4
a21 (co – factor of 4) = (-1)2+1(-3) = (-1)3(-3) = 3
a22 (co – factor of 6) = (-1)2+2(2) = (-1)4(2) = 2
Now, adj A = Transpose of co-factor Matrix
Calculating |A|
= [2 × 6 – (-3) × 4]
= (12 + 12)
= 24
Ans.