- #1

sheldonrocks97

Gold Member

- 66

- 2

## Homework Statement

Prove that every n x n matrix A for which there exists an n x n matrix B such that AB = I must be invertible. Hint: Use properties of determinants.

## Homework Equations

None that I am aware of.

## The Attempt at a Solution

I tried finding the inverse of the matrix and multiplying by an elementary matrix. I also tried finding the determinants of a simple matrix and using it's properties but nothing is working :(