How to calculate the dimension of a space that is defined by symmetric matrices
111911
Dimensions of symmetric and skew-symmetric matrices
155066
Dimension of the quotient space $\frac{C_{0}}{M}.$
102935
Trace and determinant of composition of a left-multiplication and a right-multiplication on a space of matrices
123410
Find dimension of Commuting matrices over field of prime elements
35625
Direct sum of orthogonal subspaces
127591
How to prove that the collection of rank-k matrices forms a closed subset of the space of matrices?
152742
Finding a basis of an infinite-dimensional vector space?
100749
How to find bases for a subspace defined by an equation
41611
Open and closed set in n by n matrices space.
88728
Dimensions of vector subspaces in a direct sum are additive
30877
How to show that the set of orthogonal n x n matrices forms a group under multiplication
31326
Number of $(0,1)$ $m\times n$ matrices with no empty rows or columns
141674
Given $n$ linear functionals $f_k(x_1,\dotsc,x_n) = \sum_{j=1}^n (k-j)x_j$, what is the dimension of the subspace they annihilate?
142097
Finding the dimension of the orthogonal complement
131993
Prove that vector space and dual space have same dimension
78648
Find an orthonormal basis for the subspace of $\mathbb R^4$
13200
How do I know the span of a matrix