Linear mapping/Finite dimensional/Eigenvalues bounded by dimension/Fact/Proof/Exercise

Let ${}K$ be a field, ${}V$ a finite-dimensional ${}K$-vector space and

$\varphi \colon V\longrightarrow V$

a linear mapping. Show that there exist at most ${}\dim _{}{\left(V\right)}$ many eigenvalues

for ${}\varphi$.

Create a solution