Carl Meyer

Advanced Analytics 502: Linear Algebra

Homework 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

Chapter 2

2.1 Row Echelon Form And Rank, 1---3

2.2 The Reduced Row Echelon Form, 1---3

2.3 Consistency Of Linear Systems, 1---3, 5, 7

2.4 Homogeneous Systems, 1, 2, 4, 5, 6

2.5 Nonhomogeneous Systems, 1---4

Chapter 3

3.2 Addition and Transposition, 1---4

3.5 Matrix Multiplication, 1---5

3.6 Properties Of Matrix Multiplication, 1---5,

3.7 Matrix Inversion, 1---6

3.9 Elementary Matrices And Equivalence, 2---6

3.10 The LU Factorization, 1---3

Chapter 4

4.1 Spaces And Subspaces, 1, 2, 5, 6

4.2 Four Fundamental Subspaces, 1---5

4.3 Linear Independence, 1---7

4.4 Basis And Dimension, 1---5

4.6 Classical Least Squares, 1---7

Chapter 5

5.1 Vector Norms, 1---6

5.2 Matrix Norms, 1, 2

5.4 Orthogonal Vectors, 1---4, 6

5.12 Singular Values, 1

Chapter 7

7.1 Elementary Properties Of Eigensystems, 1---3, 5, 6, 9

7.2 Diagonalization by Similarity Transformations, 1---3, 5, 6

7.6 Positive Definite Matrices, 1, 4