Rank of product of a matrix and its transpose
28565
Prove $\operatorname{rank}A^TA=\operatorname{rank}A$ for any $A\in M_{m \times n}$
103665
Product of matrices of different order is not invertible
21758
Rank of the $n \times n$ matrix with ones on the main diagonal and $a$ off the main diagonal
115137
Product of adjacency matrices
10483
Prove Sylvester rank inequality: $\text{rank}(AB)\ge\text{rank}(A)+\text{rank}(B)-n$
43000
Show $\operatorname{rank}(A) + \operatorname{rank}(B) \ge \operatorname{rank}(A+B)$
42761
Matrix is conjugate to its own transpose
62283
How can I quickly know the rank of this / any other matrix?
130799
Matrix of rank 1; show that $A^2=cA$ for some scalar $c$.
4205
Is adjoint of singular matrix singular? What would be its rank?
98298
Prove that bilinear form can be presented as product of linear forms if and only if it has rank one
136329
A matrix is similar to its transpose
47589
Product of a primitive matrix and its transpose.
34043
A rank-one matrix is the product of two vectors
121358
What is the exact relation between a full rank matrix and its determinant?
15197
Relation between trace and rank for projection matrices
119435
Rank of the difference of matrices