Exercise 1

Perform the indicated operations, if defined, or state “not defined.”

• $\begin{pmatrix}5&-1&2\\ 6&1&1\end{pmatrix}+\begin{pmatrix}2&1&4\\ 3&0&5\end{pmatrix}$

• $6\cdot\begin{pmatrix}2&-1&-1\\ 1&2&3\end{pmatrix}$

• $\begin{pmatrix}2&1\\ 0&3\end{pmatrix}+\begin{pmatrix}2&1\\ 0&3\end{pmatrix}$

• $4\begin{pmatrix}1&2\\ 3&-1\end{pmatrix}+5\begin{pmatrix}-1&4\\ -2&1\end{pmatrix}$

• $3\begin{pmatrix}2&1\\ 3&0\end{pmatrix}+2\begin{pmatrix}1&1&4\\ 3&0&5\end{pmatrix}$