00:01
So this question is going to give me an augmented matrix.
00:04
Okay.
00:05
And it wants me to write a system of equations that corresponds to it.
00:09
So let's write the matrix first.
00:11
So 1, 0, negative 3 and negative 1.
00:17
1, negative 2, 0, negative 2, 0, negative 1, 2, 0, negative 1, 2, 2, and 3.
00:27
And now every column, so these are my columns up and down, that's going to be the same variable.
00:35
So for example, this would be my x's.
00:37
All of these would be my y's.
00:40
All of these are going to be my z's.
00:44
And all of these are going to name my c's.
00:46
They're going to be all after the equal sign.
00:49
Now, i'm also going to separate these by rows.
00:55
So this row one would be all together in an equation.
01:01
My row two will be all together in a second equation and my row three would be all together in my third equation.
01:08
So let's put all the information together.
01:10
Let's look at the first row first and put it all together.
01:13
So i have a 1x.
01:16
I don't have a y, so i'm not going to write it.
01:18
And i have a negative 3.
01:20
So i'm going to put minus 3 z equals negative 1...