Linear Algebra: linear algebra – #29546


Question: Perform each of the indicated matrix operations below. If an operation is not defined, explain why it cannot be done.
(There are brackets around the the numbers below for each matrix)

a)

\(\left[ \begin{matrix}
3 & -1 & 5 \\
-2 & 4 & 6 \\
\end{matrix} \right]-\left[ \begin{matrix}
1 & -2 & 2 \\
-2 & 3 & 4 \\
\end{matrix} \right]\)

b)

\(\left[ \begin{matrix}
6 & 4 \\
2 & 5 \\
-1 & 3 \\
\end{matrix} \right]+\left[ \begin{matrix}
2 & 3 \\
2 & -2 \\
\end{matrix} \right]\)

c)
\(\left[ \begin{matrix}
2 & -3 & 4 \\
-2 & 3 & 4 \\
\end{matrix} \right]\times \left[ \begin{matrix}
-3 & 2 \\
4 & 1 \\
\end{matrix} \right]\)

d)

\[\left[ \begin{matrix}
3 & -2 & 2 \\
4 & -3 & 3 \\
\end{matrix} \right]\times \left[ \begin{matrix}
3 & -2 \\
1 & -2 \\
0 & 4 \\
\end{matrix} \right]\]

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