Examples of using Linear algebra in English and their translations into Thai
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In fenton's linear algebra class then today.
And we will do more of that in linear algebra.
In linear algebra, you can apply it to anything.
This is a placement test for linear algebra 170.
But in linear algebra, this is one of the few subjects where.
I actually prove it in the linear algebra playlist.
Linear Algebra and Statistics is useful but not required.
There's a lot of names and labels in linear algebra.
Linear algebra, I found when the professor would assign, you know, prove this.
Okay! This is a placement test for Linear Algebra 170.
But the whole study of linear algebra is abstracting these ideas into multi-dimensional space.
This is a placement test for Linear Algebra 170. Okay!
They're actually at least a useful notation to use as we progress through our explorations of linear algebra.
Linear algebra is someone will write-- they won't just write the set of all real numbers, they will write Rn.
Well actually, not algebra, some linear algebra.
So that when you see in your linear algebra book, when you see linear algebra problems, when you see this big capital.
I were to just, before you learned any linear algebra, if.
I think I have done it in some of the earlier linear algebra videos before I started doing a formal presentation of it.
The Cauchy-Schwarz Inequality we will use a lot when we prove other results in linear algebra.
And my sense of why, in the linear algebra world, they use this, is because you kind of imagine that this vector is being changed into that vector.
It started out as a matrix programming language where linear algebra programming was simple.
And they might not be obviously useful right now, but maybe we will use them later when we are exploring other parts of linear algebra.
And for most of what we talk about in linear algebra, we're going to represent them as essentially these columns, and in the very near future, we will represent them as rows as well.
And I encourage you to re-watch that, and I will probably do that again in the linear algebra context.
And so you might remember from earlier linear algebra when we talk about the dot products of two vectors it involves something with the cosine of the angle between them.
It only makes sense that we have something called a linear transformation because we're studying linear algebra.
In linear algebra, the field, or the gods of linear algebra, are kind of experts in to some degree stating simple and obvious things in convoluted and Byzantine ways.
The program is equipped with tools that interact with the components of linear algebra and other branches of science.
The neat thing about linear algebra in general is some very seemingly simple concepts can be interpreted in a bunch of different ways, and can be shown to represent different ideas or different problems.
But I'm going to be very formal and very abstract and very broad with the vector right now because the beauty of linear algebra is that it doesn't just apply to things.