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What is the practical significance of linear algebra? What is the matrix? What does the operation between matrices represent? Many people still don't understand these questions at school, so I think we should start with understanding the nature of the course.
There are only a few articles or answers that provide an understanding of the nature of
matrix one or two, three (transferred from Meng Yan blog)ANot long ago Chensh for ulterior purposes, to act as a teacher and teach others linear algebra. So I was caught. Some of the retreats in linear algebra have been discussed with him several times. Obviously, Chensh felt that it would be more difficult for him to
, the linear equations (1) can use the following matrix
(2)
. In fact, with (2), the linear equations except words that represent unknown numbers (1) are determined, and the words used to represent unknown numbers are of course not substantive. I learned how to use addition and subtraction elimination methods and substitution elimination methods to solve binary a
On the Internet to see an article, looked after the feeling quite deep. He tells the nature of linear algebra, and intuitively describes linear spaces, vectors, and matrices. The linear algebra course, whether you start from the d
The nature of linear algebraWen/FengThe linear algebra course, whether you start from the determinant or directly from the matrix, is riddled with inexplicable beginnings.For example, in the national General Engineering Department of teaching the most widely used in Tongji linear
Linear algebra (Linear Algebra) This discipline everyone is not unfamiliar, if someone still feel a little rusty, then "determinant", "matrix" These concepts you should always have the impression. Each major of the university will study this course in different shades, the l
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
also used by many people for engineering development. On top of Python, there is a well-known mathematical computing library, numpy and scipy, which has also been transplanted to. Net (the porting process is with the help of Microsoft ).
To use these two libraries, use Python tools for Visual Studio-an integrated Python Development Environment implemented in vs2010.
The specific use of the wizard can access: http://pytools.codeplex.com/wikipage? Title = numpy % 20and % 20 scipy % 20for % w.
also a book, "Linear algebra should be learned", to see the watercress, it is a good reference in linear algebra.
This article, to learn to think good linear algebra of the students of the road signs.
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also used by many people for engineering development. On top of Python is a well-known mathematical library-NumPy and SciPy, which is also ported to. NET (the porting process is with Microsoft's help).The best way to use these two libraries is through python Tools for Visual Studio-A Python integrated development environment implemented in VS2010.Specific usage wizards can be accessed by:Http://pytools.codeplex.com/wikipage?title=NumPy%20and%20SciPy%20for%20.Net3, development using C #In. NET 4
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 ap
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 mat
??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
mathematical knowledge related to machine learning and machine vision. This was a web site I found to introduce the relevant mathematical knowledge: http://bbs.sciencenet.cn/home.php? Mod = space uid = 240720 do = blog id = 284694 many classic books are mentioned above, but it does not seem to have this linear algebra book. It is another MIT teaching material, there are related open
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Linear algebra is a compulsory course in the University of Science, I am ashamed to say that I have not learned, throughout the semester all the classes I was thinking about one thing: this thing is very complex, what can be used to do? Think back to the math lesson
Linear algebra is the basis of machine learning, as early as six months ago we carried out linear algebra learning, of course, for machine learning, linear algebra is not the degree of
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
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 c
Directory Navigation1.1 Matrix and its operations ( i ): Creating a Matrix Class1.2 Matrix and its operations ( two ): operation of matrices1.3 Matrix and its operations ( three ): Transpose of matrices2.1 determinant ( i ): Create a determinant class2.2 determinant ( two ): full permutation and reverse order number2.3 determinant ( three ):n -Step determinant2.4 determinant ( four ): Upper triangular determinant3.1 matrix inversion ( i ): adjoint matrix3.2 matrix inversion ( two ): inverse of m
??Recently, when implementing algorithms. Feel the lack of knowledge of mathematics, here-------------------------------------------------- calculus --------------------------------------------- -------------Calculus Open Class:mit: univariate calculushttp://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/Http://v.163.com/special/sp/singlevariablecalculus.htmlmit: Many variable CalculusHttp://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/inde
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