How can I prove that the kernel of a linear transformation with a matrix M is a subset of a linear transformation with a matrix M^2?
34714
What is the relationship between $\ker(A), \ker(A^2), \ldots, \ker(A^n)$?
18921
Linear Transformations: Proving 1 dimensional subspace goes to 1 dimensional
156858
Kernel of powers of a normal operator
115385
Computing matrices of linear transformation under different basis
96158
What's the associated matrix of this linear operator?
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
58491
Proving the inverse of a matrix as a polynomial of matrices
76619
Computing kernels of a matrix in distinct cases
38266
How to prove that exponential kernel is positive definite?
131480
Proof that composition of invertible linear transformations is invertible (without determinants)
23095
Prove that T is a linear transformation
137209
Finding the Matrix of a Linear Operator Satisfying a Polynomial
90192
Kernel and Image of a group homomorphism
6960
Necessary and sufficient condition for the matrix $A = I - 2 x x^t$ to be orthogonal
89984
Linear combination of two kernel functions
116823
VERIFYING: Proving an $n \times n$ Matrix Vector Space
145885
Linear transformation preserving orthogonality