If the kernel of a matrix is the 0 vector, why is the basis of the kernel non existent?
1162
Why $\{\mathbf{0}\}$ has dimension zero?
61274
If $AA^T$ is the zero matrix, then $A$ is the zero matrix
12698
Orthonormal basis for $\mathcal{L}^2([0,1])$
64353
Does the set of matrix commutators form a subspace?
119947
Can a non-zero vector have zero image under every linear functional?
59929
Why is $(e_n)$ not a basis for $\ell_\infty$?
4443
Why is the determinant zero iff the column vectors are linearly dependent?
145094
Is my basis for $U=\{p \in \mathcal P_4(\mathbb R) \mid p(6)=0\}$ correct?
96158
What's the associated matrix of this linear operator?
25039
Zero vector of a vector space
152742
Finding a basis of an infinite-dimensional vector space?
58021
Finding matrix $B$ is not zero matrix where $AB= 0$
32064
Zero-dimensional matrices
105345
Intuition for the exponential of a matrix
14806
How to prove that the radial basis function is a kernel?
133609
orthonormal system in a Hilbert space
52621
Why is $\det(A - \lambda I)$ zero?