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Linear Syllabus

# Linear Syllabus - 14 4.1 Subspaces 15 4.2 Basis and...

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revised 8/20/08 640:250 Introduction to Linear Algebra Text: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach, 2nd Edition ISBN # 978-0-13-187141-0, Prentice-Hall, Upper Saddle River, NJ 07458 Syllabus Lecture Reading Topics 1 1.1, 1.2 Matrices, Vectors, and Linear Combinations 2 1.3 Systems of Linear Equations 3 1.4 Gaussian Elimination 4 1.6 Span of a Set of Vectors 5 1.7 Linear Dependence and Linear Independence 6 1.7, 2.1 Homogeneous Systems, Matrix Multiplication 7 2.1 Matrix Algebra 8 2.3 Invertibility and Elementary Matrices App. E Uniqueness of Reduced Row Echelon Form 9 2.4 Inverse of a Matrix 2.5 Partitioned Matrices and Block Multiplication 10 2.6 LU Decomposition of a Matrix 11 Midterm Exam #1 12 3.1 Determinants; Cofactor Expansions 13 3.2 Properties of Determinants
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Unformatted text preview: 14 4.1 Subspaces 15 4.2 Basis and Dimension 16 4.3 Column Space and Null Space of a Matrix 17 5.1 Eigenvalues and Eigenvectors 18 5.2 Characteristic Polynomial 19 5.3 Diagonalization of a Matrix 20 5.5 Examples of Diagonalization 21 Midterm Exam # 2 22 6.1 Geometry of Vectors; Projection onto a Line 23 6.2 Orthogonal Sets of Vectors; Gram-Schmidt Process; QR factorization 24 6.3 Orthogonal Projection; Orthogonal Complements 25 6.4 Least Squares; Normal Equations 26 6.5, 6.6 Orthogonal Matrices; Diagonalization of Symmetric Matrices 27 6.6 Diagonalization of Quadratic Forms Spectral Decomposition for Symmetric Matrices 28 Catch up and review Final Exam (Class Hour Schedule)...
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