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## Homework Statement

Prove that for a general NXN matrix, M, det(M)=0 => Linear Dependence of Columns

## Homework Equations

## The Attempt at a Solution

It's not clear to me at all how to approach this. We've just started Linear algebra and this was stated without proof in lecture. I have no idea how to solve this. Can someone give me a hint about a starting point?

Thanks! :)