Question: Let A = \[\left[ \begin{matrix} -1 & -1 & 1 \\ 2 & 1 & -1 \\ -1 & -1 & -2 \\ \end{matrix} \right]\], B = \[\left[ \begin{matrix} 1 & 1 & -2 \\ -2 & 0 & 1 \\ 1 & 1 & 3 \\ \end{matrix} \right]\] \[\] and C = \[\left[ \begin{matrix} 2 & 3 \\ -1 & 0 \\ -1 & 1 \\ \end{matrix} \right]\]

Compute:

(a) AC + BC (It is much faster if you use the distributive law for matrices first.)

(b) 2A - 3A

(c) Perform the given operation for the following zero-one matrices. See the text, page 253 for the definition of the symbol \[\odot \].

\[\left[ \begin{matrix}

1 & 0 & 1 \\
1 & 0 & 0 \\
0 & 1 & 1 \\
\end{matrix} \right]\odot \left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ 1 & 1 \\ \end{matrix} \right]\]