What does it mean when the rank (number of non-zero rows) of a reduced matrix is MORE than the number of variables?
124505
Proof that there must exist infinitely many solutions to a homogeneous system of equations when more unknowns than equations
4205
Is adjoint of singular matrix singular? What would be its rank?
121358
What is the exact relation between a full rank matrix and its determinant?
6905
Rank of product of a matrix and its transpose
127500
How many minors are in a matrix?
111031
Matrix rank and linear independence of functions
9250
Can the zero vector be an eigenvector for a matrix?
20653
Geometric meaning of the determinant of a matrix
150387
Questions about matrix rank, trace, and invertibility
64432
Physical or geometric meaning of the trace of a matrix
31326
Number of $(0,1)$ $m\times n$ matrices with no empty rows or columns
135171
Under what conditions is the difference between a rank $1$, postive semidefinite matrix and a hermitian matrix positive semidefinite?
156868
Why is finding $M$ eigenvectors on smaller matrix valid?
69542
Why do the $n \times n$ non-singular matrices form an "open" set?
102166
What is the relation between rank of a matrix, its eigenvalues and eigenvectors
45532
Let $A$ be a $n\times n$ matrix with entries $a_{ij}=i+j $ . Calculate rank of $A$
2109
Max dimension of a subspace of singular $n\times n$ matrices