coursera linear algebra

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

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

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

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

Learning notes TF062: TensorFlow linear algebra compiling framework XLA, tf062tensorflow XLA (Accelerated Linear Algebra), a specialized Linear Algebra compiler (demain-specific compiler), optimizes TensorFlow computing. Real-time

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

Directory 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

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