New posts in Linear Transformations

Does the association $V \mapsto GL(V)$ define a functor?

How do we decide whether to visualize a matrix with its rows or columns?

What's wrong with manipulating this algebraic equation? and why does a manipulated system of equations have a different solution than the original?

Show that a transformation is linear if and only if its restriction to subspaces of dimension 2 is linear.

Prove $D \in \mathcal{L}(\mathcal{P}(\mathbf{R}),\mathcal{P}(\mathbf{R})) : \text{deg}(D(p)) = \text{deg}(p) - 1$ is surjective

Prove that the axiom of choice is necessary in order to prove something else.

What is the image of $x^{\rm T}Qx\le 1$ under a linear map $x \mapsto Cx$?

a linear map on $W$

Prove that V is an identity operator

$T:\Bbb{R}^2\rightarrow\Bbb{R}^2$ has 2 distinct eigenvalues. Showing that $v$ or $T(v)− \lambda_1v$ are eigenvectors of $T$