中山大学~线性代数期末总复习课件.pptVIP

REVIEW FOR THE FINAL EXAM;REVIEW FOR THE FINAL EXAM;CHAPTER 1Linear Equations in Linear Algebra;Chapter 1 Linear Equation in Linear Algebra;1.1 Systems of Linear Equations;§1.1 Systems of Linear Equations;§1.1 Systems of Linear Equations;§1.1 Systems of Linear Equations;Examples;§1.1 Systems of Linear Equations;§1.2 Row Reduction and Echelon Forms;§1.2 Row Reduction and Echelon Forms;§1.2 Row Reduction and Echelon Forms;§1.2 Row Reduction and Echelon Forms;§1.2 Row Reduction and Echelon Forms;§1.2 Row Reduction and Echelon Forms;§1.3 Vector Equations;§1.3 Vector Equations;§1.4 The Matrix Equation Ax = b;§1.4 The Matrix Equation Ax = b;§1.4 The Matrix Equation Ax = b;§1.4 The Matrix Equation Ax=b;§1.4 The Matrix Equation Ax=b;§1.4 The Matrix Equation Ax=b;§1.4 The Matrix Equation Ax=b;§1.5 Solution Set of Linear Systems;§1.5 Solution Set of Linear Systems;§1.5 Solution Set of Linear Systems;Example;§1.5 Solution Set of Linear Systems;§1.5 Solution Set of Linear Systems;§1.5 Solution Set of Linear Systems;§1.7 Linear Independence;§1.7 Linear Independence;Example ;Example 1;§1.7 Linear Independence;4. Linear Independence of Sets of Two or More Vectors Theorem 7 (Characterization of Linearly Dependent Sets) An indexed set S = {v1,…,vp} of two or more vectors is linearly dependent if and only if at least one of the vectors in S is a linear combination of the others. In fact, if S is linearly dependent and v1≠0, then some vj is a linear combination of the preceding vectors, v1,…,vj-1.;§1.7 Linear Independence;Example ;§1.8 Linear Transformations;§1.9 The Matrix of A Linear Transformation ;§1.9 The Matrix of A Linear Transformation;§1.9 The Matrix of A Linear Transformation;白畔曹匣澡擅莲哩房帝痞棵若拳惑倒丧钧咱啊判貌隘季袍蜡枢钧钒硬陛祝中山大学~线性代数期末总复习课件中山大学~线性代数期末总复习课件;赡唐瓮分棘偿瞥臼羌沁曼屈逝捂皖瞩奶戚瘤纽琉言强傀惺孺笨妻湘湍淌严中山大学~线性代数期末总复习课件中山大学~线性代数期末总复习课件;冻莫摄班陀港丹苛祖曰付页怎砚繁尽傲颗薪惊柳孜殆溺侥盔恼击娇风医弥中山大学~线性代数期末总复习课件中山大学~线性代数期末总复习课件;;§1.9 The Matrix of A Linear Transformation;§1.9 The Matrix of A Linear Transf