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So far, we've learned how to add
and subtract matrices (the sizes had to be the same) and how to
multiply a matrix by a scalar. These were really easy.
Multiplying two matrices is a bit
tricky, but, once you get the hang of it, it's a snap -- you just
need to be careful!
First of all, the size of the two
matrices you are multiplying is super important!
Here's how it works:
Say the size of matrix
A is
3 x 4
and the size of matrix
B is
4 x 1
and we want
 ...
Looking at the
sizes...
You'll see this when
we do one.
In general:
If the size of
matrix A
is m x n
and the size of matrix
B
is n x p,
then
This is for
 ...
Can we multiply
? No!
For this to all make
sense, we really just need to do one.
Continued on the
next
page
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