线性代数复习提纲(重要公式,方法)（Linear algebra (important formula method)）.docVIP

线性代数复习提纲(重要公式,方法)（Linear algebra (important formula method)） Linear algebra review outline (important formula, method).Txt life is not the location of the station, but the direction of the direction. Dont use your needs to measure what others give you, or youll always complain. Review outline of linear algebra 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 of n item, in which the symbol is half and right; Calculation of 2. determinant First order | alpha alph