Given matrix $A \in \mathbb{R}^{m \times n}$ ($m > n$) how to determine whether a positive linear combination exists?
105852
How to verify whether or not there exists a vector $x$ such that $Ax > 0$?
89047
If a matrix is triangular, is there a quicker way to tell if it is can be diagonalized?
11911
How to prove the positive definite property of the semidefinite matrix with regularization?
118883
If $\lambda_{max} = n$, then $n\times n$ positive, reciprocal matrix A is consistent
112866
Is the matrix filled with the areas of pairwise intersections of disks in a plane always positive semidefinite?
115296
Under what conditions does a matrix $A$ have a square root?
52040
"Inverse" of an $n\times k$ matrix.
43570
Finding two non-zero matrices where $AX = BA$
118061
How to check if a matrix is diagonizable?
52564
$m\times n$ matrix with an even number of 1s in each row and column
152506
The greatest common divisor is the smallest positive linear combination
86749
Prove that any set of vectors $S \subset \mathbb{R}^n$ containing the zero vector cannot be linearly independent
37117
Sum of positive definite matrices still positive definite?
27248
If $A$ is an $m \times n$ matrix, prove that $Ax=0$ has infinite solutions $\iff$ $\text{rank}(A)<n$
40409
If a subspace S is spanned by $n$ vectors, any subset of S with $m>n$ vectors is linearly dependent
55752
Prove that $n+1$ vectors in $\mathbb{R}^n$ cannot be linearly independent
91087
For which values $r, s \in \mathbb R$ is the set $\{u, v, w\}$ linearly independent?