Orthogonal matrices form a compact set
128835
Compactness of the set of $n \times n$ orthogonal matrices
6659
Approximating commuting matrices by commuting diagonalizable matrices
146455
Compactness of the set of all unitary matrices in $M_2(\mathbb{C})$
23372
Show that for an invertible matrix, the images of a set of vectors spanning the space also form a spanning set
12213
Similarity of real matrices over $\mathbb{C}$
1865
Sub-determinants of an orthogonal matrix
142097
Finding the dimension of the orthogonal complement
12955
Classification of $n\times n$ real matrices up to congruence
137081
Is the set of real matrices diagonalizable in $\mathcal M_n(C)$ dense in the set of all companion matrices?
11566
Similar matrices and minimal polynomial
9436
How to define an orthogonal basis in the right way?
30877
How to show that the set of orthogonal n x n matrices forms a group under multiplication
10531
Is the convex hull of a compact set compact?
63260
Matrices whose Linear Combinations are All Singular
64353
Does the set of matrix commutators form a subspace?
10715
Orthogonal projection and two subspaces
63529
How to show that this set is compact in $\ell^2$