A rank-one matrix is the product of two vectors
46128
Representation of Matrix with Rank 1
87494
$\operatorname{rank}(T^3) + \operatorname{rank}(T) \geq 2\operatorname{rank}(T^2)$ for finite-dimensional $V$
115137
Product of adjacency matrices
15197
Relation between trace and rank for projection matrices
23372
Show that for an invertible matrix, the images of a set of vectors spanning the space also form a spanning set
59598
The vectors are orthonormal
116823
VERIFYING: Proving an $n \times n$ Matrix Vector Space
10483
Prove Sylvester rank inequality: $\text{rank}(AB)\ge\text{rank}(A)+\text{rank}(B)-n$
97487
How to prove whether a matrix has rank $1$
151443
Find two $2 \times 2$ matrices $A$ and $B$ with the same rank, determinant,...but they are not similar.
146984
Prove: Full Rank and a solution os linear system
77587
Cross product: matrix transformation identity
41026
How to prove and interpret $\operatorname{rank}(AB) \leq \operatorname{min}(\operatorname{rank}(A), \operatorname{rank}(B))$?
117769
How to show that the determinant of this matrix is in a nice product factorization,
111031
Matrix rank and linear independence of functions
122853
Show that $\operatorname{rank}(A) = \operatorname{rank}(B)$
152869
Rank of circulant matrix with $k$ ones per row