Hi Clint.

I drew out your matrix question in a more standard way:

You can refer to http://en.wikipedia.org/wiki/Matrix_multiplication for the full understanding of Matrix multiplication, but in a nutshell, when you multiply an 2 by 5 matrix times a 5 by 5 matrix, the result is 2 by 5.

For each cell in the result, you calculate by adding the products of the first matrix's row with the second matrix's column.

Here's an example: Say I want to find the value of the green cell -- that's cell location (2, 4) because I count from (1, 1) in the upper left corner.

To do this, I concentrate on ROW 2 from the first matrix and COLUMN 4 from the second:

Now I multiply the values in the first cells together: 1 x 3 = 3.
Now the second values: -3 x 4 = -12
And the third: 18 x 2 = 36
The fourth: -20 x 1 = -20
The fifth: -33 x 0 = 0
Finally, I add up these products: 3 + (-12) + 36 + (-20) + 0 = 7. So the result here is a 7.

I leave the rest of the work up to you!! Hope you find what you're geocaching for!

Cheers,
Stephen La Rocque