Math 316U - Summer Semester 2005 - 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 (5/9/05) - Introduction to Systems of Linear Equations, Review of Vectors, and Matrices
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Lecture 2 (5/11/05) - Solving Systems of Equations using Gauss-Jordan Elimination, Matrix-Matrix Multiplication, and Matrix Algebra
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Lecture 3 (5/16/05) - Linear Independence, Span, Basis, and Coordinates
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Lecture 4 (5/18/05) - Linear Transformations, Inverse of a Linear Transformation
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Lecture 5 (5/23/05) - Image and Kernel of a Linear Transformation
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Lecture 6 (5/25/05) - Change of Basis of a Linear Transformation
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Lecture 7 (6/1/05) - Determinants
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Lecture 8 (6/6/05) - Eigenvalues and Eigenvectors
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Lecture 9 (6/8/05) - Eigenbasis, Diagonalization, and Powers of a Matrix
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