Linear Algebra with MATLAB
Linear Algebra Using MATLAB
Chapter 1
1.1 Systems of Linear Equations
1.2 Row Operations
1.2.1 Lab 1
1.2.2 Homework
1.3 Parameterized Solutions
1.3.1 Lab 2
1.3.2 Homework
Chapter 2
2.1 Vectors
2.2 Vector Equations and Spans
2.2.1 Homework
2.3 Matrix Equations
2.4 Solution Sets
2.4.1 Lab 3
2.5 Linear Independence
2.6 Subspaces
2.6.1 Lab 4
2.7 Basis and Dimension
2.8 Bases as Coordinate Systems
2.9 The Rank Theorem
2.9.1 Lab 5
Chapter 3
3.1 Matrix Transformations
3.2 One-to-one and Onto Transformations
3.3 Linear Transformations
3.4 Matrix Multiplication
3.5 Matrix Inverses
3.5.1 Lab 6
3.6 Invertible Matrix Theorem
Chapter 4
4.1 Determinants: Definition
4.2 Cofactor Expansions
4.2.1 Lab 7
4.3 Determinants and Volume
Chapter 5
5.1 Eigenvalues and Eigenvectors
5.2 The Characteristic Polynomial
5.3 Similarity
5.4 Diagonalization
Appendix: Instructor Apps
A.1 Generate
\(n\times n\)
example matrix that is invertible
A.2 Generate example matrix suitable for row-reduction
A.3 Dollar sign math matrices
A.4 Dollar sign math for creating vectors from columns of matrix
A.5 Timesaver
A.6 Cofactor Expansion Tool
Index
