A problem related to rank and nullity of matrices.
44927
Finding rank-nullity of a given matices
76335
Proving that two matrices are congruent, in order to establish a rank and signature result.
75104
Existence of some type matrix
119435
Rank of the difference of matrices
70606
Show that the LU decomposition of matrices of the form $\left[\begin{smallmatrix}0& x\\0 & y\end{smallmatrix}\right]$ is not unique
77192
How to prove $\text{Rank}(AB)\leq \min(\text{Rank}(A), \text{Rank}(B))$?
80751
diagonalisability of matrix few properties
14111
Determining possible minimal polynomials for a rank one linear operator
94639
Proof that the rank of a skew-symmetric matrix is at least $2$
2271
Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
43570
Finding two non-zero matrices where $AX = BA$
94424
Matrices and Eigenvalues of Norm
82688
Least rank of a matrix
2798
A and B are nxn matrices, $A =B^TB$. Prove that if rank(B)=n, A is pos def, and if rank(B)<b, A is pos semi-def.
149916
Minimum eigenvalue and singular value of a square matrix
152869
Rank of circulant matrix with $k$ ones per row
898
Strictly diagonally dominant matrices are non singular