Does Sylvester Rank Inequality holds for a matrix over finite field?
33451
Sylvester rank inequality: $\operatorname{rank} A + \operatorname{rank}B \leq \operatorname{rank} AB + n$
98631
Postive-semidefiniteness of matrix with entries $1/(a_i+a_j)$
123505
how to prove vector norm equivalence in finite dimensional space($\mathbb{R}^{n}$)?
94424
Matrices and Eigenvalues of Norm
44652
Minimum and Maximum eigenvalue inequality from a positive definite matrix.
65062
Prove $\text{rank}(A) \geq \frac{(\text{tr}(A))^2}{\text{tr}(A^2)}$ when $A$ is Hermitian
46128
Representation of Matrix with Rank 1
24617
Proof of Inequality using AM-GM
111031
Matrix rank and linear independence of functions
41026
How to prove and interpret $\operatorname{rank}(AB) \leq \operatorname{min}(\operatorname{rank}(A), \operatorname{rank}(B))$?
15417
Tricky problem on skew-symmetric matrices
152869
Rank of circulant matrix with $k$ ones per row
10478
Matrix reciprocal positive to prove $λ_{max⁡}=n$
5616
How can I prove the IFF condition for this group of matrices?
146715
A square matrix has the same minimal polynomial over its base field as it has over an extension field
146984
Prove: Full Rank and a solution os linear system
29788
Eigenvalues of a matrix whose square equals its transpose