B, B.
B
and discuss.
I'm going to teach you how to deal with mattresses.
So let's create an environment here, the beginning of line and for renting a matrix, we are going
to use the array environment, so we are going to right begin, right?
Note that we are within a mathematical environment.
OK, we are within in line and we are just put a, b, c and D, and that's that's recompile.
Now we have this array of mathematical expressions and we are just missing the the parentheses in the
side.
So we are going to use something we learned in the previous section.
It's going to be left and then right, even if if you want, you might do this the following
recompile and we have our matrix.
So if we want to multiply this, we can write times left begin.
All right.
Going to columns, then right?
Uh, maybe we want.
Only one column, so if you see the E and F now we are going to have a victor.
OK?
And we rate equal to the left begin era.
Only one column is going to have this.
And this is going to be T h right
from here that we need to to have one come on.
And now we have it.
So the key here is that the left and the right.
This is a matrix.
So we're the times.
The left and the right is another matrix.
So we prefer we can separate the like this solar array.
So one matrix times, another matrix equals
left.
OK, another matrix.
So what we are doing here is profiting from the fact that until we tell lady to create a new line,
it's going to put these elements one next to the other.
But there is another way in which we can achieve a similar result.
It's slightly different, but it also works very well.
So let me create here below a new environment beginner line.
So a new aligning environment, I'm going to put the asterisk to avoid numbers at the end.
And instead of having an array, I'm going to use directly begin and I'm going to use the the environment
p matrix.
This big matrix means parentheses matrix, and the advantage is that I don't have to put parentheses
around it.
I don't need to specify the number of columns.
So A, B, C and D, and there is another difference I'm going to compile so you can see it immediately.
You see that the parentheses is much closer to the numbers here.
There is like a space between the error rate and the parentheses because we have an invisible array
here.
So around these letters, so and then we have the parentheses.
In this case, we don't have an array inside.
It's already a.
This is a matrix it by itself.
So let me put a times in.
The other matrix that we can use is the B Matrix, and I'm going to do something mathematically wrong
because I'm going to be multiplying Matrix two by two matrix by a very large matrix.
So I'm going to define that the elements of this matrix are going to be, I don't know, maybe um m
one one.
Uh, then the second one element, the second element is going to be in.
The first one to and then to the right, if I want to put and so on and so forth, I will put all dots.
This means that it's going to put three dots to the to the to the right.
Then I can put here one and right.
So the first row and the column no, or maybe it's better to avoid confusion now in the second in the
second row, I'm going to put an end to one.
And to and I'm going to do the same, no doubt, and to no, I don't want to keep doing this and time,
so I'm just going to say feedlots, which means a vertical dots, and once I compile, it's going to
be obvious what it's doing.
I'm going to put Vidot here as well.
And now I'm going to put the dots, which is going to create like three dots in the diagonal suggest
continuity.
Now the dots here and now I'm going to put and one and two and and two dots.
And um, and so let's see what what this looks like because I've been doing stuff and I haven't, uh,
are showing you what it does.
So here we have the evidence.
I told you I was going to do something illegal in your algebras, among the blank things of different
dimensions.
But anyway, we have the ELDRED dots to the right.
These are very useful when we want to suggest a very large matrix of undetermined size.
Right?
And we have the vertical dots, the dots to the right and the diagonal dots.
And this is, uh, this completes the part in which we discussed matrices.
So you in the next.