multiplying matrices

[Clifford]

Hey guys I am having some difficulties tackling multiplying matrices so I am seeing if this is correct? I think I am finally grasping it.
\(\displaystyle \[
\begin{array}{l}
\left[ {\begin{array}
1 & 2 \\
2 & { - 1} \\
\end{array}} \right]^2 \; \times \;\;\left[ {\begin{array}
1 & { - 1} & 2 \\
3 & 0 & 4 \\
\end{array}} \right] \\
= \;\left[ {\begin{array}
5 & 0 \\
0 & 5 \\
\end{array}} \right]\; \times \;\left[ {\begin{array}
1 & { - 1} & 2 \\
3 & 0 & 4 \\
\end{array}} \right] \\
= \;\left[ {\begin{array}
5 & { - 5} & {10} \\
{15} & 0 & {20} \\
\end{array}} \right] \\
\end{array}
\]\)

 

[mark07]

Good job!

 

[soroban]

Hello, Clifford!

\(\displaystyle \L\begin{bmatrix} 1 & 2 \\ 2 & { - 1}\end{bmatrix}^2 \,\times\,\begin{bmatrix} 1 & -1 & 2 \\ 3 & 0 & 4\end{bmatrix} \;= \;\begin{bmatrix}5 & 0 \\ 0 & 5 \end{bmatrix}\,\times\,\begin{bmatrix} 1 & -1 & 2 \\ 3 & 0 & 4 \end{array}\;=\; \begin{bmatrix} 5 & -5 & 10 \\ 15 & 0 & 20 \end{bmatrix}\)

Looks fine to me . . . Good work!

 

[Clifford]

Thanks guys.