Chapter 6.6, Problem 24AP

To determine

To prove:

That $T_1+T_2$ is a linear transformation when $T_1$ and $T_2$ is a linear transformations from $V$ to $W$ and find whether there must be any relationship between $\text{Ker}\left(T_1\right)$, $\text{Ker}\left(T_2\right)$, and $\text{Ker}\left(T_1+T_2\right)$.