00:01
Okay, in order to use kramer's rule, i first need to find the determinant and figure out if the determinant is not zero.
00:06
So the determinant will involve the coefficient.
00:11
So 1, negative 1, 2, 3, 2.
00:15
In the second equation, there's no coefficient, there's no x, a z term.
00:20
So therefore, the coefficient will be 0, negative 2, 2, 2, and negative 4.
00:25
So to find the determinant of a 3 by 3 matrix, this will be, we're going to look at the top row in whatever numbers aren't in the row or column, we're going to find the determinant of the remaining number.
00:41
So it'll be 1 times the determinant of these four numbers, minus going down the row negative 1 times the determinant of the numbers that are in the row or column.
00:54
So 3, negative 2, 0, negative 4, plus 2 times the numbers that aren't in the row or column of 2.
01:04
So 3, negative 2, 2, 2, and 2.
01:07
Okay...