Math 316 - Spring Semester 2007 - Lectures
Lectures are in PDF file format. Viewing PDF format requires Adobe's Acrobat Reader.
Most computers on campus have Acrobat Reader installed. You can also download a free
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Questions regarding the lectures below can be sent to
Prof. Williams by e-mail.
These notes will form the basis for part of the lectures. The remainder of each
lecture period will be devoted to answering students' questions and solving problems.
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Lecture 1 (1/8/07) - Introduction to Systems of Linear Equations, Geometric Interpretations, Review of Vectors
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Lecture 2 (1/22/07) - Matrices, Solving Systems of Linear Equations, Matrix-Matrix Multiplication
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Lecture 3 (1/29/07) - Matrix Algebra, Linear Independence, Span, Basis, Dimension,
and Coordinates
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Lecture 4 (2/5/07) - Linear Transformations, Inverse of a Linear Transformation
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Review for Exam 1
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Lecture 5 (3/12/07) - Image and Kernel of a Linear Transformation, Change of Basis
of a Linear Transformation
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Lecture 6 (3/19/07) - Determinants
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Lecture 7 (3/26/07) - Eigenvalues and Eigenvectors
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Lecture 8 (4/2/07) - Eigenbasis, Diagonalization, and Powers of a Matrix
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Review for Exam 2
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