how to solve the system of a.x=b with Matrix?

Hi i'm studying linear algebra, first of all sorry for screen shots if it's not a good idea but I don't know how to write a matrix in StackExchange.

So question gave me A Matrix and I have to find its inverse so I got the inverse :

A Matrix and its inverse

And Now I have to solve this "A.X = B" :

A.X=B

I'm not sure how I should solve this, should I Multiply Matrix A inverse with 4-vector column Matrix B ? to find Matrix X ?

Thanks.

What happens when you multiply the equation $AX=B$ by $A^{-1}$ from the left?