Find a linear map $T$ from $\mathbb{R}^2$ to $\mathbb{R}^2$ such that $T$ is neither $0$ nor the identity map, but $T^2 = T$.
I have no idea how to even start this, so help would be appreciated. Thanks!
Find a linear map $T$ from $\mathbb{R}^2$ to $\mathbb{R}^2$ such that $T$ is neither $0$ nor the identity map, but $T^2 = T$.
I have no idea how to even start this, so help would be appreciated. Thanks!