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## Homework Statement

Prove: A 2x2 matrix is nonsingular if and only if the determinant != 0

## The Attempt at a Solution

I need to prove this, using logic and maybe the theorem that a n x n matrix is nonsingular if and only if it is row equivalent to I_n.

I could use a push in the right direction. I need to show a proof for both ways, as it is an if and only if statement.