algebra for idiots

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 online tutorial lectures and uses actual tests for self-evaluation. (Go to Scott's FAQ pag

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 vector (vectors)? an ordered list of values.To s

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. The number table in the determinant, now appears to be the coefficients of the multivariate

"Matrix Algebra Preliminary" (Introduction to Matrix ALGEBRA) course by Prof. A.k.kaw (University of South Florida) is designed and taught.PDF format Learning note Download (academia.edu)3rd. Download the course handout (PDF)Summary addition of matricesThe matrices $[a]$ and $[b]$ can is added only if they is the same size. The addition is then shown as $$[c]=[a]+[b]$$ where $ $c _{ij}=a_{ij} + b_{ij}$$

"Matrix Algebra Preliminary" (Introduction to Matrix ALGEBRA) course by Prof. A.k.kaw (University of South Florida) is designed and taught.1th. Download the course handout (PDF)Summary MatrixA matrix is a rectangular array of elements. Matrix $A $ is denoted by $ $A = \begin{bmatrix}a_{11} \cdots a_{1n}\\ \vdots\vdots\vdots \ A_{m1}am P \cdots A_{mn} \end{bmatrix}$$ VectorA vector is a matrix of th

"Matrix Algebra Preliminary" (Introduction to Matrix ALGEBRA) course by Prof. A.k.kaw (University of South Florida) is designed and taught.PDF format Learning note Download (academia.edu)6th. Download the course handout (PDF)Summary Gaussian elimination consists of the steps: Forward Elimination of unknowns In this step, the unknown are eliminated in each equation starting with the first equa

"Matrix Algebra Preliminary" (Introduction to Matrix ALGEBRA) course by Prof. A.k.kaw (University of South Florida) is designed and taught.PDF format Learning note Download (academia.edu)9th. Download the course handout (PDF)Summary ill-conditional System A system of equations is considered to being ill-conditioned if a small change in the coefficient matrix or a small change in The right hand

small for the standard change) Step three: Look at the b→c, similar to the second step. ...... The following: De→c is the same. Another method: If R is decomposed into a function-dependent set satisfied by P={r1,r2},f R, the sufficient and necessary conditions for the decomposition p to be lossless are: The r1∩r2→ (R1-R2) or r1∩r2→ (R2-R1) ps:-operation is made up of the public properties of R1 and R1 that are removed from R2. Relational algebra: F

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 China, that is, how profound is it on purpose. A

Document directory Exercise: (use MATLAB whenever possible) Exercise: I started learning linear algebra for the exam today. Although I have learned it before, I have forgotten it in my family.Chapter 1 matrix and equations 1.1 Linear Equations The content of this section is very simple, that is, a brief introduction of things to be learned. Definition: If the coefficient of the first K-1 variable of the K equation in the equations is 0 and the c

Reprinted from: http://www.read.org.cn/html/2070-zhuan-zai-shi-tian-nei-zhang-wo-xian-xing-dai-shu-jing-ren-de-chao-su-xue-xi-shi-yan.html I just saw a very wonderful article in the translation, which was specially reproduced for sharing by more people. Source: calnewport.com Original article title: Mastering linear algebra in 10 days: astounding experiments in ultra-Learning Address: http://calnewport.com/blog/2012/10/26/maste Translator: maplef

The Division in relational algebra is not very explicit. Now, if you understand it, write it! First, you must understand when division is required and what is the role of division? 1. Division is to find the entity in the relationship between two entities. Some attributes of the Division set are the real subset of the Division set. For example, in R ÷ s, an attribute in the property set of set S is the true subset of the Set R attribute set. 2. Ass

Ultraviolet A 10655-Contemplation! Algebra (matrix fast power) Question connection: Ultraviolet A 10655-Contemplation! Algebra Enter a non-negative integer, p, q, n, and evaluate the value of an + bn. Where a and B meet the requirements of a + B = p, AB = q, note that a and B are not necessarily real numbers. Solution: If f (n) = an + bn is defined, then f (n )? (A + B) = (an + bn )? (A + B) = an + 1 + abn

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 linear algebra.If there are for example the following circuit networks:watermark/2/te

Zhang Zujin 7th of the No. 484 period Zhongshan University 2016 mathematical analysis of postgraduate examination questions [5846-5866] (link, video tutorial)Title: http://bbs.sciencenet.cn/thread-3091481-1-1.htmlZhang Zujin 7th vol. No. 485 Zhongshan University 2016 Advanced Algebra Examination Questions Reference [5867-5891] (link, video tutorial)Title: http://bbs.sciencenet.cn/thread-3091481-1-1.htmlThe reference and explanation of the 2016 mathema

problem Econtemplation! Algebra Input: standard input output: standard outputTime Limit: 1 SecondGiven the value of a+b and ab you'll have to find the value of an+bnInputThe input file contains several lines of inputs. Each line except the last line contains 3 non-negative integers p, Q and n. Here p denotes the value of a+b andq denotes the value of ab. Input is terminated by a line containing only and zeroes. This is should not being processed. Eac

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 linear combination of : Cv+aw. where C and a are arbitrary scalars.1.2 Lengths and Dot productsdot product : The inner product of a vector. ------------- in relation to len

/*stern-brocot algebra System Stern-brocot tree is a wonderful way to generate all non-negative, minimal fraction m/n. The basic approach is to start with the two fractions (0/1, 1/0) and repeat as needed: Insert (M+M1) between adjacent fractions m/n and m1/n1 (N+N1) For example, you can see it as an infinitely extended two-fork Tree 0 1 1---------1 1 0/\/\ 1 2------2 1/\/\/\/1 2 3 3------------3 3 2 1 ........ By

1) unary polynomial, polynomial, i-th coefficient, constant term, first term, first coefficient, n polynomial, 0 polynomial, 0 polynomial, polynomial equal, polynomial plus and minus.---2) The vector representation of the polynomial: the elements of the vector represent the coefficients of the polynomial, and the number of times is implied in the order of the elements, such as f (x) =x^2+2x+1 can be expressed as (1,2,1). N-th polynomial is a vector with n+1 components.3) Polynomial division, com

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 linear equation whether there is a solution and the number of the solution