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BlasThe BLAS (Basic Linear Algebra subprograms) is routines, provide standard building blocks for performing Basic vector and matrix operations. The level 1 BLAS perform scalar, vector and vector-vector operations, the Level 2 BLAS perform matrix-vector operations, a nd the Level 3 BLAS perform matrix-matrix operations. Because the BLAS is efficient, portable, and widely available, they is commonly used in
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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 I had since I was a kid:Primary school is su
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 mastery can be, more of the concept of unders
Chapter 2 Solving Linear equations2.1 Vectors and Linear equationsthe core problem of linear algebra : Solving the equation system. ------------"but slope are important in calculus and this islinear algebra".a*x=b two kinds of viewpoints: The line space of a and the inner pr
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
Recently in the implementation of the algorithm, the feeling of 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-calculu
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Linear Algebra
I. Basic Knowledge
Ii. vector operations
Iii. Matrix Operations
Linear Algebra 1. Basic Knowledge
All vectors in this book are in the form of column vectors:\ [\ Mathbf {\ VEC x} = (x_1, x_2, \ cdots, X_n) ^ t = \ begin {bmatrix} X_1 \ X_2 \ vdots \ x_n \ end {bmatrix} \] all
This article is a basic learning blog from the University of Paris, PhD Hadrien Jean, which aims to help beginners/Advanced Beginners Master the concept of linear algebra based on deep learning and machine learning. Mastering these skills can improve your ability to understand and apply a variety of data science algorithms.For beginners, the theoretical underpinnings of deep learning (Ian Goodfellow, Yoshua
This paper turns from the public number---meets the mathematical---graphic mathematical---linear algebra partThank you for meeting the Math Working Group to explain the obscure and acting knowledgeable mathematical knowledge of university textbooks in an easy-to-understand and lively and interesting way.This time we mainly do a review, and then further the determinant of the geometric meaning of the animati
Mastering linear algebra in 10 days: astoundin
Translator: mapleflying
Recently, my friend Scott Young made an amazing feat: within a year, he completed all 33 of the legendary mit computer science curriculum, from Linear Algebra to Computational Theory. The most important thing is that he is self-taught. He watches
The first self-taught Tongji 5 version of the linear algebra, from the beginning to look, also a little puzzled, suddenly there are many determinant appear, in fact, the definition of the real does not understand.Refer to the Li Shangzhi teacher's linear Algebra 2 video and make some notes to enhance understanding.1. T
Chapter 1 introduce to VectorsTwo core operations of linear algebra: vector addition and multiplication. Combining these two operations is a linear combination of vectors.1.1 Vector and Linear combinationsTwo basic operations: vector addition and multiplication.two x vector v and W
of the lectures Started by this teacher are very good, because our linear algebra textbooks are similar. They all start from the determinant, followed by the matrix followed by the vector, I didn't quite understand the arrangement of books before, but now I am wearing it all at once:
Linear Algebra is used as a too
Make a mark and have time to summarize the knowledge of the linear algebra obtained in the 10-day course to finish a book.1. Determinant: The value can be evaluated2, Matrix: There is a corresponding determinant, the matrix itself can not calculate a value, but can be by the equivalent determinant of the value of the matrix and the adjoint matrix, whether reversible, is also a
Mastering linear algebra in 10 days: astoundin
Translator: mapleflying
Recently, my friend Scott Young made an amazing feat: within a year, he completed all 33 of the legendary mit computer science curriculum, from Linear Algebra to Computational Theory. The most important thing is that he is self-taught. He watches
This paper turns from the public number---meets the mathematical---graphic mathematical---linear algebra partThank you for meeting the Math Working Group to explain the obscure and acting knowledgeable mathematical knowledge of university textbooks in an easy-to-understand and lively and interesting way.The concept of vectorsIn real life, we put a few values together, as a whole to analyze, and this has vec
The previous articles on linear algebra are all explained in terms of mathematics. This article will be a different angle to explain the problem.The tutor often tells me that everything has to think about its physical or practical significance, through the phenomenon to see the essence, so that can be more profound understanding, so you can see what the actual use of li
) Elementary factor:?? Use?? The elementary transformation of the lambda matrix will be a characteristic matrix?? The λe-a is transformed into a diagonal matrix, and then each diagonal element is decomposed into the product of a non-identical one-power-exponent, then all of these power-of-one-powers are referred to as the elementary factors of A;The sufficient and necessary condition for the similarity of N-order matrices A and B is that their elementary factors are the same;20) about when the m
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