线代知识点（Line generation knowledge point）.docVIP

线代知识点（Line generation knowledge point） [linear] review outline 2010, shock debut, did not go to class friends pay attention to!!!!!!! Share, reprint, copy, address Log address: Please copy it with Ctrl+C and paste it to your friend. Broadcast to micro-blog, reproduced from the fool, call you tender, 2011, 05, 26, 20:25, read (1) comment (0) categories: articles reprinted Report: print font Small, medium and large Part 1: basic requirements (calculation) The calculation of four order determinant; The calculation of the special determinant of order N (such as row, row, column, and equality); The operations of matrices (including addition, subtraction, multiplication, multiplication, transposition, inversion, etc.); Find the rank and inverse of the matrix (two methods); solve the matrix equation; A discussion on the solutions of linear equations with parameters; The solution of homogeneous and nonhomogeneous linear equations (including unique and infinite solutions); Discuss whether a vector can be expressed linearly with a vector group; Discuss or prove the relevance of vectors; Finding the maximal independent group of vectors, and expressing the redundant vectors linearly with maximal independent groups; The independent groups are orthogonal and modular; Seek eigenvalues and eigenvectors of a square; The diagonalization of matrices can be discussed if the matrix and diagonal matrices of similar transformations can be written; The diagonalization of symmetric matrices is made by orthogonal similarity transformation (orthogonal matrix); Write the matrix of the two type, and standardize the two order, and write the transformation matrix; Positive definite of two or symmetric matrices. The second part: basic knowledge Determinant 1. definition of determinant A notation consisting of n^2 elements AIJ is called a n order determinant. (1) it represents all possible algebraic sum of the product of n elements taken from different rows and columns; (2) the expansion of a total