Show this linear map over a finite field is not the zero map
57639
Show there exists an $\alpha\in F_{p^n}$ such that $\alpha +\alpha^p+\alpha^{p^2}+\cdots+\alpha^{p^{n-1}}\neq 0$
140106
How to prove a finite field is not ordered?
29030
Vector space with new scalar multiplication defined over finite field still vector space?
113109
Showing that a map is bijective and finding its inverse
5802
Proving the universal mapping property for polynomial rings
61616
category of linear maps
5644
Is a right inverse of a surjective linear map linear?
78344
Nonconstant linear functional on a topological vector space is an open mapping
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
78873
How to show that the monomials are not a Schauder basis for $C[0,1]$
92600
Let $V$ be a $K$-vector space, $f: V \rightarrow V$ a linear map. Under some condition, show that $v, f(v),...,f^n(v)$ are linearly independent.
41035
Mapping that proves $\mathbb{Z} \subset \mathbb{Q}$
58009
How to show that $\mathbb Q(\sqrt 2)$ is not field isomorphic to $\mathbb Q(\sqrt 3).$
35569
Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$
140212
Prove that there exists a unique linear map that extends the map from a basis
154360
Show $f$ can't be irreducible over a finite field if $f^\prime$ is the zero polynomial.
23239
Prove that the following map has at least $k-2$ fixed points