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# Course_outline1 - MATH 235 Course Objectives LINEAR ALGEBRA 2 WINTER 2010 To understand several important concepts in linear algebra including

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MATH 235 LINEAR ALGEBRA 2 WINTER 2010 Course Objectives: To understand several important concepts in linear algebra, including linear mappings and isomor- phisms; inner products and inner product spaces; orthonormal bases; orthogonal and symmetric matrices; orthogonal diagonalization; quadratic forms; vector spaces over C ; the real canonical form; unitary, Hermitian, and normal matrices; unitary diagonalization. To improve your ability to prove mathematical results. To expand your knowledge of MATLAB. Course Schedule Week Dates Text Sections Topics 1 Jan 4 - 8 4-5 Review 136, Rank-Nullity Theorem 2 Jan 11 - 15 4-6, 4-7 Matrix of a Linear Mapping, Isomorphisms 3 Jan 18 - 22 4-7, 7-4, 7-1 Isomorphisms con’t, Inner Product Spaces, Orthogonality 4 Jan 25 - 29 7-1, 7-2 Orthonormal Basis, Orthogonal Matrix, Orthogonal Complement 5 Feb 1 - 5 7-2, 7-3 General Projections, Gram-Schmidt Procedure, Overdetermined Systems 6 Feb 8 - 12 7-3, 8-1 Least Squares, Diagonalization of Symmetric Matrices 7 Feb 15 - 19 READING WEEK 8 Feb 22 - 26 8-1, *, 8-2 Principal Axis Theorem, Triangularization, Quadratic Forms 9 Mar 1 - 5 8-2, 8-3, * Quadratic Forms Con’t, Graphs of Quadratic Forms, SV Decomposition 10 Mar 8 - 12 *, 9-1 SVD con’t, Vector Spaces over C 11 Mar 15 - 19 9-2, 9-3 Eigenvalues, Real Canonical Form, Complex Inner Products

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## This note was uploaded on 04/18/2010 for the course MATH 235 taught by Professor Celmin during the Spring '08 term at Waterloo.

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Course_outline1 - MATH 235 Course Objectives LINEAR ALGEBRA 2 WINTER 2010 To understand several important concepts in linear algebra including

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