What is the rank of the matrix consisting of all permutations of one vector?
102458
Subspace generated by permutations of a vector in a vector space
17430
If $\operatorname{rank}\left( \begin{bmatrix} A &B \\ C &D \end{bmatrix}\right)=n$ prove that $\det(AD)=\det(BC)$
9411
Number of permutations of $n$ elements where no number $i$ is in position $i$
122853
Show that $\operatorname{rank}(A) = \operatorname{rank}(B)$
16439
What are the eigenvalues of matrix that have all elements equal 1?
137148
If $A=\left( \begin{array}{ccc} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{array} \right)$, find the rank of $A+A^2+A^3$
98273
minimal polynomial of powers of a matrix
40151
What's the algorithm of finding the convex combination of permutation matrices for a doubly stochastic matrix?
21758
Rank of the $n \times n$ matrix with ones on the main diagonal and $a$ off the main diagonal
150387
Questions about matrix rank, trace, and invertibility
19203
Is the rank of a matrix the same of its transpose? If yes, how can I prove it?
87756
Order of a particular given permutation = LCM(order of all disjoint cycles) ?
128966
Explicit bijection between $\Bbb R$ and permutations of $\Bbb N$
33451
Sylvester rank inequality: $\operatorname{rank} A + \operatorname{rank}B \leq \operatorname{rank} AB + n$
2271
Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
111031
Matrix rank and linear independence of functions
41436
rank of complex conjugate transpose matrix property proof