Find A_–1 if and show that

We have,

We have to find A^-1 and

Firstly, we find |A|

Expanding |A| along C₁, we get

= 0 – 1 {0 – 1} + 1 {1 – 0}

= 1 + 1

= 2

Now, we have to find adj A and for that we have to find co-factors:

Now, we have to show that

= A^-1

Hence Proved