(The Difficulty Points) matrix's multiplication; the conception of inverse; Partitioned matrix Depth and Breadth] Understanding the conception of matrix: Mastering matrix's calculator; Knowing partitioned matrix and its calculator Chapter 2 Determinant and Cramer's rule Teaching Content】 The conception of determinant and its properties; Determinant of square matrix's multiplication Adjoint of matrix; The expansion of determinant by row or column; Cramer's rule of linear equation (Teaching request】 1. Understanding determinant; Mastering the properties of determinant; Calculator determinant by properties and the expansion of determinant; Knowing the determinant of square matrixs multiplication 2. Understanding adjoint of matrixs conception; Can solve inverse by adjoint of matrix 3. Knowing Cramer's rule (The Key Points] Determinant's properties and calculator (The Difficulty Points] Determinant's propertie Depth and breadth Understanding determinant; Mastering determinant's properties and calculator Knowing cramer 's rule Chaper 3 Rank of Matrix and solution of Linear Equation Teaching Content】 Elementary operations of matrix; Elementary matrix; equivalent of matrix Rank of matrix; The way to solve the rank of matrix and inverse by elementary operations; Theorem of linear equation has solution Teaching Request】 1. Mastering elementary operations of matrix; Understanding elementary matrix equivalent of matrix and rank of matrix; Mastering the way to solve the rank of matrix and inverse by 2. Understanding full essential condition of homogeneous linear equations has nonzero solution and non-homogeneous linear equations has solution the Key Points] Rank of matrix; The way to solve the rank of matrix and inverse matrix by elementary operations; Equivalent of matrix; Elementary operations and elementary matrix; Theorem of linear equation has solution 【 The Difficulty Points】 Eementary matrix Depth and breadth Mastering inverse matrix and full essential condition of invertible Mastering solve the rank of matrix and inverse matrix by elementary operations Chapter 4 vector and the Structure of Solutions (Teaching content】 Vector space, Linear combination and linear represented of vector; Linear dependence and independence of vectors; The maximal linearly independent collection of vectors; Equal of vector collection; Rank of vector collection The properties and structure of solution The basis for solutions of system and solutions; Solution vector; The way to solve the【The Difficulty Points】matrix’s multiplication; the conception of inverse ; Partitioned matrix. 【Depth and Breadth】Understanding the conception of matrix; Mastering matrix’s calculator; Knowing partitioned matrix and its calculator. Chapter 2 Determinant and Cramer’s rule 【Teaching Content】 The conception of determinant and its properties; Determinant of square matrix ‘s multiplication; Adjoint of matrix; The expansion of determinant by row or column; Cramer’s rule of linear equation. 【Teaching Request】 1. Understanding determinant; Mastering the properties of determinant; Calculator determinant by properties and the expansion of determinant; Knowing the determinant of square matrix’s multiplication . 2. Understanding adjoint of matrix’s conception; Can solve inverse by adjoint of matrix. 3. Knowing Cramer’s rule. 【The Key Points】Determinant’s properties and calculator. 【The Difficulty Points】Determinant’s properties. 【Depth and breadth】Understanding determinant; Mastering determinant’s properties and calculator; Knowing Cramer’s rule. Chaper 3 Rank of Matrix and Solution of Linear Equation 【Teaching Content】 Elementary operations of matrix; Elementary matrix；equivalent of matrix ；Rank of matrix; The way to solve the rank of matrix and inverse by elementary operations; Theorem of linear equation has solution. 【Teaching Request】 1. Mastering elementary operations of matrix; Understanding elementary matrix 、equivalent of matrix and rank of matrix; Mastering the way to solve the rank of matrix and inverse by elementary operations. 2. Understanding full essential condition of homogeneous linear equations has nonzero solution and non-homogeneous linear equations has solution. 【the Key Points】Rank of matrix; The way to solve the rank of matrix and inverse matrix by elementary operations; Equivalent of matrix; Elementary operations and elementary matrix; Theorem of linear equation has solution) 【The Difficulty Points】Eementary matrix. 【Depth and breadth】Mastering inverse matrix and full essential condition of invertible; Mastering solve the rank of matrix and inverse matrix by elementary operations. Chapter 4 Vector and the Structure of Solutions 【Teaching Content】 Vector space; Linear combination and linear represented of vector; Linear dependence and independence of vectors; The maximal linearly independent collection of vectors; Equal of vector collection; Rank of vector collection ; The properties and structure of solution; The basis for solutions of system and solutions; Solution vector; The way to solve the