Notes - Linear Algebra MT23, Misc

Created: May 07, 2024

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).

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

[[Course - Linear Algebra MT23]]^U

(outgoing)
[[Notes - Linear Algebra MT23, Rank-nullity theorem]]^U

(sim: 0.567)
[[Lecture - Analysis MT22, V]]^U

(sim: 0.516)
[[Notes - Linear Algebra I MT22, Chapter 6]]^U

(sim: 0.441)
[[Lecture - Linear Algebra MT23, I]]^U

(sim: 0.424)