A surjective linear map (T:E -> E) implies a bijective linear map?
48990
Linear map $f:V\rightarrow V$ injective $\Longleftrightarrow$ surjective
21391
Proving Functions are Surjective
97801
If $R_{1}$ and $R_{2}$ are relations on a set S with $R_{1};R_{2}=R_{2};R_{1}$. Then $R_{1}$ and $R_{2}$ are bijective maps
120522
Showing any countable, dense, linear ordering is isomorphic to a subset of $\mathbb{Q}$
157268
Proving a bijection with absolute value
133083
Injectivity and surjectivity of a recursive function
100107
How can I prove that a linear map $T:V\to V$ such that $T^2 = I$ is equal to the Identity map?
98696
Is the exponential map ever not injective?
50572
Is there a general theorem stating why the restricted Lorentz group's exponential map is surjective?
148500
Understanding this theorem and how to go about proving it surjectivity?
113671
Frobenius Automorphism as a linear map
111689
Surjective, but not injective endomorphism
109498
Linear maps $f: M_n \longrightarrow \mathbb{R}$ such that $f(AB) = f(BA)$
113109
Showing that a map is bijective and finding its inverse
93923
No surjective bounded linear map from $\ell^2(\mathbf{N})$ to $\ell^1(\mathbf{N})$
53971
If $g:V \rightarrow V$ is an injective linear transformation. Prove if $V$ is finite dimensional then $g$ is surjective.
145077
A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?