Lecture Notes for Math 3013, Spring 1999
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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: Review Session
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: Determinants
Lecture 14: Review Session
Lecture 15: Eigenvalues and Eigenvectors
Lecture 16: Diagonalization
