New posts in Linear Transformations

Why does an affine transformation $A$ when constrained by $A^TA=\lambda^2I$ result in a similarity transformation?

Eigenvalues of a linear transformation $M_{2,2}\ \rightarrow M_{2,2}$

Basis for Kernel and image of map

Suppose $f(x)-f(y)=h(g(x)-g(y))$, then $h$ is linear?

Graphing $f(2-x)$

Solving a (fun!) coequalizer problem for $\mathrm{SL}_n(\mathbb{R})\rightarrow\mathrm{SL}_n(\mathbb{C})$ in $\mathbf{Grp}$

Infinitesimal rotation matrix close to the identity

every eigenvalue of $T$ has only one corresponding eigenvector up to a scalar multiplication

A differentiable function on Euclidean Space compatible with scalar multiplication is a linear map

Linear operator T on $ \mathbb{R}^5$. $T^4 \neq 0$, but $T^5 = 0$. What's the rank of $T^2$?