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- #1

My answer:

$\begin{bmatrix}a&b&c\\d&e&f\\g&h&i \end{bmatrix}$$\begin{bmatrix}1&0&0\\0&0&0\\0&0&0 \end{bmatrix}$$\begin{bmatrix}a'&b'&c'\\d'&e'&f'\\g'&h'&i' \end{bmatrix}$=$\begin{bmatrix}aa'&ab'&ac'\\da'&db'&dc'\\ga'&gb'&gc' \end{bmatrix}$.

Is this correct, and is there a nicer way to express the matrices in the ideal?