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## Homework Statement

If A is an mXn matrix, B is an nXm matirx, and n<m, then AB is not invertible.

## Homework Equations

## The Attempt at a Solution

By doing A is a 2X1 and B is a 1X2, I find that AB is not linearly independent, so it cannot be invertible, but I'm not sure how to show that for all matrices of this nature.