00:01
So in this problem, we're given these four sets of equations.
00:05
And we're asked to first write the augmented matrix, which means we take the coefficients from all of the variables on the left -hand side.
00:15
We write them in the matrix.
00:16
1 -1 -4 -minus 3.
00:21
Then we usually put a line down through here.
00:23
We start putting the constants on the right -hand side next.
00:29
2 .3.
00:30
Okay, next row, minus 4, 6, minus 15, 10, minus 7 .7.
00:39
2, 0, because nothing shows up here for x2.
00:44
X3 is a 5, minus 4, x there, and 2 .9.
00:50
And then 4, minus 3, 11, minus 6, and 5 .1.
00:57
Then we're asked to use gauss -geord elimination to road reduce this.
01:04
And when we do, we're going to end up with a matrix that goes one, one, two, three, zero one, zero, zero, zero, zero, zero, zero, zero, one, like this...