So I know the definition of the Inverse of a Matrix A is that there exists matrix B such that AB=BA=I3, where I3 is the identity matrix. If A is invertible, then the matrix B is called the inverse of the matrix A, and it is denoted by A-1.
I'm trying to find the inverse of a random 3x3 matrix A with integer coefficient (if it exists) without using the Inverse[...] function in Mathematica. So far I have:
And would have to solve for B, such that
I have no idea how to start and anything would be helpful.