Rank of a Matrix Sum
43000
Show $\operatorname{rank}(A) + \operatorname{rank}(B) \ge \operatorname{rank}(A+B)$
47589
Product of a primitive matrix and its transpose.
97040
Question about an application of the Rank-Nullity theorem
129328
Sum of points and rank according to points
97487
How to prove whether a matrix has rank $1$
36639
Prove by induction that $\sum_{r=0}^{n}\begin{pmatrix}n \\ r \end{pmatrix}=2^k$
63064
How to compute sum of sum (linear analysis)
15197
Relation between trace and rank for projection matrices
46128
Representation of Matrix with Rank 1
6905
Rank of product of a matrix and its transpose
59396
Show that the rank of $A+B$ is no more than the sum of the ranks of $A$ and $B$
23224
$\mbox{rank}(A)=1$ implies $\det(A+I)=\mbox{trace}(A)+1$
11620
Is it true that any matrix in $M_2(\mathbb R)$ is the sum of two squares?
76160
Dimension of the sum of two vector subspaces
87494
$\operatorname{rank}(T^3) + \operatorname{rank}(T) \geq 2\operatorname{rank}(T^2)$ for finite-dimensional $V$
106511
Determinant of the sum of matrices: $\det (A + B^T) = \det(A^T + B)$
122339
Sums-of-Squares (total, between, within): how to compute them from a Distance Matrix?