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Here's just a fraction of what the can do with linear algebraThe next time someone wonders what's the point of linear algebra are, send them here. I write a blog on math and programming and I see linear algebra applied to computer science all the time. Here's a short list th
Linear algebra is the basis of machine learning, as early as six months ago we have developed linear algebra learning, of course, for machine learning, linear algebra is not to achieve the degree of mastery can be, more of the con
This paper is Gilbert Strang's introductory course note on linear algebra. Course Address: http://v.163.com/special/opencourse/daishu.html
24th class: Markov Matrix, Fourier seriesThis lecture explains the application of eigenvalue, Markov matrix theory, Fourier series (it is the ingenious application of projection matrix)
Markov matricesSatisfies two properties: 1) All elements are greater than or equal
of "description".For a linear transformation, as long as you select a set of bases, you can find a matrix to describe the linear transformation. To change a group of bases, you get a different matrix. All of these matrices are a description of the same linear transformation, but they are not linear transformations the
The core of Linear Algebra: Vector Model
Is linear algebra an objective natural law or a human design?
The commonality of all programming languages is that a set of models are established, a set of syntaxes are defined, and each syntax is mapped to specific semantics. Compliance between programmers and language impleme
Original address
Mathematics is the foundation of computer technology, linear algebra is the basis of machine learning and deep learning, the best way to understand the knowledge of the data I think is to understand the concept, mathematics is not only used for exams in school, but also the essential basic knowledge of the work, in fact, there are many interesting math classes in the school There are many e
The microblog, touched a pile of treasure: about the linear algebra study of the article.
First found Chen (Http://weibo.com/acumon), former senior engineer Baidu, lifelong learners. Then find the "Renaissance" (Http://weibo.com/weidagang). This is the man's clue.
The clue of the article, first saw the "linear algebra
Link:http://www.cnblogs.com/redmoon/archive/2011/03/29/1999242.htmlFor the engineering class, graphics and other professional software, need a lot of mathematical calculations, and the most used is the calculation of linear algebra.So, on top of. NET, and above all, how do you complete the related linear algebra calculations above. NET 4.0 and VS2010? I think the
For professional software such as engineering and graphics, a large amount of mathematical computation is required, and linear algebra is the most used.
So, on top of. net, especially on. NET 4.0 and vs2010, how can we complete Related Linear Algebra computing? I want to use the following methods:
I. self-built and
coefficient determinant must be zero.
1.12 homogeneous and non-homogeneous equations
Definition: Linear Equations with zero constants are called homogeneous linear equations; otherwise, they are called non-homogeneous linear equations.
Conclusion: homogeneous linear equations always have solutions, because (0, 0 ,...
inner product can also be applied naturally to any dimension of space.With the concept of distance, of course we have to do something interesting with it. or from the concept of geometry, we can use distance to calculate the perimeter and area of a plane graph and the volume of the spatial graph. For example, we can calculate the coordinates of a point in a line or a plane that is closest to the nearest point on the straight or flat plane. The two applications in mathematics, the former produce
To pick up the flowers
Don't forget beginner's mind
Apply
've seen
Bit by bit
Linear algebra is the combination of a group of numbers by linear combinations to get another set of numbers. The so-called linear combination, like the purchase of vegetables, I can buy half a catty of vegetables, two ca
Finally, I read the book Linear Algebra and Its Application David C. Lay intermittently. I have to say that it is indeed a classic book. There is a sense of mutual sorrow (in fact, I thought the book was quite good at the beginning ). I feel that the books written by foreigners are very popular. They really want to teach people to understand and learn something, rather than reading a lot of textbooks in Chi
??Recently in the implementation of the algorithm, the feeling of lack of knowledge of mathematics, here -------------------------------------------------- calculus --------------------------------------------- ------------- Calculus Open Class: mit: univariate calculus http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/ Http://v.163.com/special/sp/singlevariablecalculus.html mit: Many variable Calculus Http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-c
This week has focused on a number of topics, including:1) from the perceptual knowledge of what is linear algebra, and from the ideological realization that linear algebra is useful.2) Simple understanding of the addition, subtraction, multiplication of the matrix. These are some of the rules that people prescribe. Mas
, single non-zero vector linearly independent;27) The sufficient and necessary condition for the linear correlation of a vector group is that one of the vectors can be linearly represented by the remaining vectors;28) The sufficient and necessary condition for the linear correlation of two vectors is that their components correspond proportionally;29) The vector group is linearly correlated with the partial
PCA Dimension Reduction-- Minimum Variance interpretation (linear algebra see PCA) Note: According to the online data collation, welcome to discussThe complexity of the machine learning algorithm is closely related to the dimensionality of the data, even with the dimension number of the exponential association. So we have to dimensionality the data.dimensionality, of course, means the loss of information,
Chapter 2 determining factors
§ 1 Introduction
Solving equations is a basic problem in algebra. Especially in the algebra learned by Middle School, solving equations plays an important role. This chapter and the next chapter mainly discuss the General Multivariate equations, that is, linear equations.
The theory of linear
the linear Equation Group general solution, This allows us to directly transform the vector equation into an augmented matrix to solve the problem.Meaning of the span symbol: based on a linear combination of concepts, we remember that span (V1,v2,v3,..., vn) represents a collection of all linear combinations of v1~vn of these n vectors.Based on this concept of t
has another well-structured similarity matrix, which makes the elementary transformation very convenient. It makes a discussion of the similarity matrix of the \ (a\), which is equivalent to the discussion of the similarity matrix of the \ (b=\begin{bmatrix}\lambda_0\\\bar{\lambda}_0\end{bmatrix}\).\[\begin{bmatrix}1\\\lambda^{-1}\\\ddots\\\lambda^ {-(n-1)}\end{bmatrix}\begin{bmatrix}\lambda1\\\ddots\ddots\\\ddots 1\\\lambda\end{bmatrix}\begin{bmatrix}1\\\lambda\\ \ddots\\\lambda^{(n-1)}\end{bm
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