# Notes - Linear Algebra MT23, Misc

### Flashcards

Suppose $f : A \to B$ where $A$ and $B$ are finite sets of the same size. What relationship is there between the injectivity and surjectivity of $f$?

(this is useful for e.g. proving results about homomorphisms over finite fields).

\[f \text{ surjective} \iff f \text{ injective}\]