Hint to prove that $\exp : M_n(\mathbb{C}) \rightarrow GL(n,\mathbb{C})$ is surjective.
34700
Proving that the matrix exponential map is surjective onto the general linear group
117502
Proving that a certain continuous function is surjective.
41846
$(\mathbb{R}^n,\|\cdot\|_{p})$ is isometrically isomorphic to $(\mathbb{R}^n,\|\cdot\|_{q})$ iff $p=q,$
73773
$C(M)=\{A\in M_n(\mathbb{C}) \mid AM=MA\}$ is a subspace of dimension at least $n$.
46863
Show that $g$ is injective
137011
showing $\psi: R\to \mathbb C$ is ring isomorphism.
39453
How do I prove that $S^n$ is homeomorphic to $S^m \Rightarrow m=n$?
7418
The Center of $\operatorname{GL}(n,k)$
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
45991
Why $f\colon \mathbb{Z}_n^\times \to \mathbb{Z}_m^\times$ is surjective?
73458
Double cover of $GL(n,\mathbb{C})$.
36137
Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$
59041
Centre of $GL_n(\mathbb R)$
84114
Does there exist a surjective homomorphism from $(\mathbb R,+)$ to $(\mathbb Q,+)$ ?
155266
Is $\exp:\overline{\mathbb{M}}_n\to\mathbb{M}_n$ injective?
104757
If $f \circ g$ is surjective, then f is surjective