Question: Given the following matrices and vectors, solve the following, if possible. Check your solutions using Minitab. If you cannot figure out how to do with Minitab, post a help question on the discussion board.

\[A=\left[ \begin{matrix} 3 & 0 \\ -1 & 4 \\ \end{matrix} \right],\,\,\,\,B=\left[ \begin{matrix} 2 & -3 & 4 \\ 3 & 0 & -1 \\ \end{matrix} \right],\,\,\,\,C=\left[ \begin{matrix} 3 & 0 & 2 \\ \end{matrix} \right],\,\,\,\,D=\left[ \begin{matrix} 2 & 1 \\ 0 & -1 \\ \end{matrix} \right]\,\,\]

a) AB

b) CA

c) B’B (B transpose * B)

d) A-1

e) A-1A

f) AI (I: Identity matrix)

g) BC’ (B*C transpose)

h) A+D

i) B-D