if one linear operator of a set of linear operators sends a vector to zero then the product of linear operators must send the vector to zero?
447
Minimal polynomial for T is a product of distinct linear factors
151752
Example of a linear operator on some vector space with more than one right inverse.
25039
Zero vector of a vector space
146339
Proof of -(-v)=v in a vector space
155509
Does a linear operator obeying Leibniz rule imply it is a differential operator?
105014
Is the zero vector in $\mathbb{R}^n$ by itself a subspace of $\mathbb{R}^n$?
11715
Prove that if $\langle Tx,x\rangle =0$ for all $x \in X$, then $T = 0$
20309
Product and sum of positive operators is positive
17087
Question concerning linear combinations of vectors and linear independence in Linear Algebra.
92774
Prove that a linear subspace of $C([0,1])$ is closed
8902
Can Gaussian elimination find a zero vector when $m < n$?
45416
linear transformation $T$ is onto if and only if $T^*$ is one to one
76498
Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
24004
General form of a linear transformation
111550
Let $A$ be a square complex matrix of size $n$ then $\langle Ax,x\rangle=0$ for $\forall x \in \Bbb C^n$ $\iff A=0$
105141
$\mathbb R[x]/\langle x^2+1\rangle\simeq\mathbb C$ and $\mathbb R[x]/\langle x^2+1\rangle$ contains a zero of $x^2+1$
18921
Linear Transformations: Proving 1 dimensional subspace goes to 1 dimensional