国际学院线性代数讲义Lecture04课件

1、国际学院线性代数讲义Lecture04国际学院线性代数讲义Lecture04Overview2Overview4Part OneElementary Matrices3Part OneElementary Matrices5Equivalent Systems4Equivalent Systems6Equivalent Systems5Equivalent Systems7Elementary Matrices6Elementary Matrices8Elementary Matrices7Elementary Matrices9Elementary Matrices8Elementary M

2、atrices10Elementary Matrices9Elementary Matrices11Elementary Matrices10Elementary Matrices12Elementary Matrices11Elementary Matrices13Elementary Matrices12Elementary Matrices14Elementary Matrices13Elementary Matrices15Elementary Matrices14Elementary Matrices16Elementary Matrices15Elementary Matrices

3、17Elementary Matrices16Elementary Matrices18Elementary Matrices17Elementary Matrices19Elementary Matrices18Elementary Matrices20Diagonal and Triangular Matrices19Diagonal and Triangular MatricTriangular Factorization20Triangular Factorization22Part TwoPartitioned Matrices21Part TwoPartitioned Matric

4、es23Partitioned Matrices22Partitioned Matrices24Partitioned Matrices23Partitioned Matrices25Partitioned Matrices24Partitioned Matrices26Block Multiplication25Block Multiplication27Block Multiplication26Block Multiplication28Block Multiplication27Block Multiplication29Outer Product Expansions28Outer

5、Product Expansions30Outer Product Expansions29Outer Product Expansions31Outer Product Expansions30Outer Product Expansions32ReviewThe definition of elementary matricesThe method to find the inverse of a matrixThe idea of partitioned matrixRepressing multiplication of matrix in terms of submatricesOuter product of vectors and matrices31ReviewThe definition of elemenExercisesP76/3(c),4(c),7(a),9(f),14P87/2,5(d),11,13(a)PreviewThe det