Determinates

1   -3   4 line 1   -3
 0   1   1        0   1
5   -2   3       5    -2

3+-15-2+-20=-32

This is a 3 by 3 matrix.  To know how to identify a matrix, all you do is look how many rows they have in the matrix, and then look how many columns there is in the matrix. Then, you just write it down like this:  3*3.  Now to find the determinate for a 3 by 3 matrix all you write down the first two columns in the matrix on the right side of the line.  Then we draw our diagonal lines to see what we have to add and subtract.  The first three diagonal lines you are supposed to add  all the numbers together.  The diagonal lines going the opposite way, you have to subtract all those numbers together.  Then you get the two numbers that you added and subtracted and you subtract them together.  That should give you your determinate.  In this problem, the determinate that I found was -32.