00:01
Now that we've done some work actually doing row reduction, we're now going to look at a way that we can quickly calculate matrices and solve matrices.
00:08
And it's a really fast method.
00:10
It's important that we know how to do row reductions.
00:12
We know the set of processes.
00:14
We understand how it's algebraically okay for us to do.
00:18
But when we're dealing with a lot of variables, it takes a lot of time.
00:22
I mean, it even takes a lot of time just doing it with three variables.
00:25
So i'm going to show this excel example with just using three variables.
00:30
But what we'll see is that it not only can be used for three variables, but it can be used for as many variables as you want.
00:36
So what we're going to do is we're going to input values into our augmented matrix.
00:43
So we have this a box right here.
00:46
It's going to be three by three, and then we have this b right here, which is one by three, or actually three by one.
00:52
So what this is going to look like is we can put some values in...