Lecture Notes for Math 3013
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Lecture 1: Vectors and Vector Spaces
Lecture 2: The Geometry of Vectors
Lecture 3: Matrices and Matrix Algebra
Lecture 4: Matrices and Matrix Algebra, Cont'd
Lecture 5: Solving Linear Equations
Lecture 6: Inverses of Matrices
Lecture 7: Subspaces of
R
n
Lecture 8: Sample Exam for Chapter 1
Lecture 9: Linear Independence and Dimension
Lecture 10: The Rank of a Matrix
Lecture 11: Linear Transformations and Matrices
Lecture 12: Abstract Vector Spaces and Concrete Examples
Lecture 13: Coordinatization of Vectors
Lecture 14: Linear Transformations
Lecture 15: Review Session
Lecture 16: Determinants
Lecture 17: Eigenvalues and Eigenvectors
Lecture 18: Diagonalization
Lecture 19: Change of Bases
Sample 1st Exam
Sample 2nd Exam
Sample Final Exam #1
Sample Final Exam #2
