Question

How do you multiply `((2, 1, 2), (0, -1, 3))` and `((4, 7), (-2, -1), (0, 3))`?

Answer 1

See below.

Explanation:

I really do wish Socratic had a convenient (or any) drawing tool, as it would make this so much easier.

In summary, here you've got a `2 times color(red)(3)` matrix and a `color(red)(3) times 2` matrix , so you're gonna get a `2 times 2` matrix.

You can do this via an elemental summation formula:

`(A B)_(ij) = sum_k A_(i, color(red)(k)) B_(color(red)(k) , j)`

And so to start, it's 24 + 1 (-2) + 2*(0).....that's just row 1, column 1.

From there, you process the patterns.