Advanced Analytics -- Linear Algebra: Test Problems

$Carl Meyer$

Advanced Analytics 591B: Linear Algebra

Test Problems --- By Chapter and Section Number In The Text Book

Chapter 1

1.2 Gaussian Elimination And Matrices, 1---5
1.3 Gauss-Jordan Method, 1---3
1.5 Making Gaussian Elimination Work, 1---3
1.6 Ill-Conditioned Systems, 4
Chapter 2

2.1 Row Echelon Form And Rank, 1---3
2.2 The Reduced Row Echelon Form, 1, 2
2.3 Consistency Of Linear Systems, 1, 5
2.4 Homogeneous Systems, 1, 2
2.5 Nonhomogeneous Systems, 1, 2

Chapter 3

3.9 Elementary Matrices And Equivalence, 1
3.10 The LU Factorization, 1---3
Chapter 4

4.1 Spaces And Subspaces, 5, 6
4.2 Four Fundamental Subspaces, 1, 2, 3, 4
4.3 Linear Independence, 1, 2, 3, 4
4.4 Basis And Dimension, 1, 3
4.6 Classical Least Squares, 1---4, 6

Chapter 7

7.1 Elementary Properties Of Eigensystems, 1, 2, 3, 6, 9
7.2 Diagonalization by Similarity Transformations, 1, 2

			Chapter 1 1.2 Gaussian Elimination And Matrices, 1---5 1.3 Gauss-Jordan Method, 1---3 1.5 Making Gaussian Elimination Work, 1---3 1.6 Ill-Conditioned Systems, 4				Chapter 2 2.1 Row Echelon Form And Rank, 1---3 2.2 The Reduced Row Echelon Form, 1, 2 2.3 Consistency Of Linear Systems, 1, 5 2.4 Homogeneous Systems, 1, 2 2.5 Nonhomogeneous Systems, 1, 2

			Chapter 3 3.9 Elementary Matrices And Equivalence, 1 3.10 The LU Factorization, 1---3				Chapter 4 4.1 Spaces And Subspaces, 5, 6 4.2 Four Fundamental Subspaces, 1, 2, 3, 4 4.3 Linear Independence, 1, 2, 3, 4 4.4 Basis And Dimension, 1, 3 4.6 Classical Least Squares, 1---4, 6

			Chapter 7 7.1 Elementary Properties Of Eigensystems, 1, 2, 3, 6, 9 7.2 Diagonalization by Similarity Transformations, 1, 2