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
.ipynb
.pdf
Binder
Contents
Determine if the vector is the span of the following vectors
2.2.1 Homework
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Determine if the vector is the span of the following vectors
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This page is under construction.
HW Question 1
Solution
HW Question 2
Solution
HW Question 3
Solution
HW Question 4
Solution
2.2 Vector Equations and Spans
2.3 Matrix Equations
