Consider the set of all $n×n$ invertible real matrices. Is that set connected?
97781
invertible matrices connected or not
39334
Non-degenerate bilinear forms and invertible matrices
67208
Can we say that there exist an integer $n$ such $A+nB$ invertible?
34372
Are $10\times 10$ matrices spanned by powers of a single matrix?
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
105666
What's an easy way to show that $GL(n,\mathbb C)$ is connected?
70157
Is every matrix $A$ such that $A^k=I$ diagonalizable?
10911
$A \in M_{n}(\mathbb{R})$ has inverse if and only if it's rank is n.
130268
How to prove that a nilpotent matrix is not invertible?
25229
Can any set of $n$ relatively prime elements be extended to an invertible matrix?
36878
Prove that $\operatorname{SL}(n,\Bbb R)$ is connected.
158189
If $\{E_\alpha\}$ is connected, $\bigcap\limits_{\alpha\in A}E \neq \emptyset$, then $\bigcup\limits_{\alpha\in A}E$ is connected
150376
Does Real Eigenvalues mean it is an hermitian Matrix
132213
Is every real monic polynomial the characteristic polynomial of a real matrix?
94378
Is Linear transformations $T_1,T_2 : \mathbb{R}^n\rightarrow \mathbb{R}^n$ Invertible?
32064
Zero-dimensional matrices
105996
Topology of matrices