If row spaces of two $m\times n$ matrices are equal, then matrices are row-equivalent
68608
Why do row equivalent matrices have the same row space?
85581
Matrices commute if and only if they share a common basis of eigenvectors?
19203
Is the rank of a matrix the same of its transpose? If yes, how can I prove it?
151161
norms on vector space are equivalent iff they have same topology
64517
Prove that row rank of a matrix equals column rank
130498
Linear algebra proof regarding matrices
18195
Understanding of the theorem that all norms are equivalent in finite dimensional vector spaces
59803
Converse of Schur's Lemma in finite dimensional vector spaces
55230
Dimension of set of commutable matrices
37924
Equivalence of norms proof
78224
Suppose $A$ is a general $n \times n$ matrix and $B$ is obtained by interchanging two rows of $A$. Prove that $\det(B) = -\det(A)$
48660
Proof that determinant rank equals row/column rank
76335
Proving that two matrices are congruent, in order to establish a rank and signature result.
27767
Are two matrices similar iff they have the same Jordan Canonical form?
109217
Invertibility of the Product of Two Matrices
99350
Are two norms equivalent if they induce the same topology on a vector space?
52564
$m\times n$ matrix with an even number of 1s in each row and column