Question

What is the production matrix?

Answer 1

`\left[\begin{array}{ccc}3\\3.8\end{array}\right]`

Explanation:

Here we want to compute the product of two matrices, one 2x2, and other 2x1.

`\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right]`

Remember that in the product, we multiply the rows of the first one by the columns of the second one, then the product is just:

`\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right] = \left[\begin{array}{ccc}0.3*4 + 0.3*6\\0.35*4 + 0.4*6\end{array}\right] = \left[\begin{array}{ccc}3\\3.8\end{array}\right]`