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.


1