Prove that the set of $n\times n$ symmetric matrices is a subspace of $M_{n\times n}(R)$?
73286
Show that the set of all symmetric, real matrices is a subspace, determine the dimension
65494
Proper subspaces of $ R^n $
40154
Finding the dimension of real symmetric matrices with trace zero
87262
How to prove positive semidefiniteness of two matrices through Schur Complement?
39746
How to prove that given set is a connected subset of the space of matrices?
53261
Show that Pn is an (n+1)-dimensional subspace
12955
Classification of $n\times n$ real matrices up to congruence
116823
VERIFYING: Proving an $n \times n$ Matrix Vector Space
43504
Proving the existence of a complement subspace $U' \subset V$.
123665
A question in Subspaces in linear algebra
128990
Prove that, at least one of the matrices $A+B$ and $A-B$ has to be singular
117175
Proof that the 2-norm of orthogonal transformation of a matrix is invariant
90576
Symmetric matrix eigenvalues
13606
Prove that $K$ is isomorphic to a subfield of the ring of $n\times n$ matrices over $F$.
23372
Show that for an invertible matrix, the images of a set of vectors spanning the space also form a spanning set
120744
How many $n\times m$ binary matrices are there, up to row and column permutations?
146143
Question about proof that finite-dimensional subspaces of normed vector spaces are direct summands