Exercise 8 — Linear Algebra

Represent the homomorphism $h\colon\mathbb{R}^{3}\to\mathbb{R}^{2}$ given by this formula and with respect to these bases.

\begin{pmatrix}x\\ y\\ z\end{pmatrix}\mapsto\begin{pmatrix}x+y\\ x+z\end{pmatrix}\qquad B=\langle\begin{pmatrix}1\\ 1\\ 1\end{pmatrix},\begin{pmatrix}1\\ 1\\ 0\end{pmatrix},\begin{pmatrix}1\\ 0\\ 0\end{pmatrix}\rangle\quad D=\langle\begin{pmatrix}1\\ 0\end{pmatrix},\begin{pmatrix}0\\ 2\end{pmatrix}\rangle

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