Prove the surjectivity of this injective linear map
53971
If $g:V \rightarrow V$ is an injective linear transformation. Prove if $V$ is finite dimensional then $g$ is surjective.
134104
Is there a Cantor-Schroder-Bernstein statement about surjective maps?
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
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.
16092
How to prove that the composition of two surjective functions is surjective
23239
Prove that the following map has at least $k-2$ fixed points
107682
Show that if the Riesz map is surjective on $H$, then $H$ is a Hilbert space
45380
Surjectivity implies injectivity and conversely
62887
Proof that a linear transformation is continuous
93102
prove that $f:X\rightarrow Y$ is surjective if and only if $f(f^{-1}(C))=C$
72952
Uniqueness of a linear map on a basis of a vector space
113671
Frobenius Automorphism as a linear map
131480
Proof that composition of invertible linear transformations is invertible (without determinants)
146306
A continuous surjective function from $(0,1]$ onto $[0,1]$
100107
How can I prove that a linear map $T:V\to V$ such that $T^2 = I$ is equal to the Identity map?
10042
How to Show that Linear transformation is invertible?
127488
If $L:\mathbb{R}^n \rightarrow \mathbb{R}^m$ and $m<n$ linear trans. What does this tell about injectivity and surjectivity?