Review2_f07 - Recommended problems 1-12 p 252 Section 5 Orthonormal sets Definition orthogonal vectors orthonormal vectors examples properties and

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M369, Linear Algebra Review Sheet #2, The problems on the 2-nd exam will be of homework type (therefore no Sample Exam, just review homework assignments and examples done in class or indicated below) Chapter 5:Orthogonality Section 1: Scalar product; angle between two vectors, orthogonal vectors, scalar and vector projections, applications to geometry (like in examples 6,7). Recommended problems: 1-11, p.223; Section 2. Orthogonal subspaces, orthogonal complement, fundamental subspaces theorem, theorems 5.2.2, 5.2.3, 5.2.4, 5.2.5. Recommended problems: 1-8, 13, 14, p.233; Section 3. Least squares problems: Theorem 5.3.2 and applications. Recommended problems: 1-6, 9, 10 p.243; Section 4. Inner product spaces: definition of an inner product, Pythagorean law, scalar projection, vector projection; norm and normed spaces are not required for this exam.
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Unformatted text preview: Recommended problems: 1-12, p. 252. Section 5. Orthonormal sets. Definition - orthogonal vectors, orthonormal vectors, examples, properties and applications. Orthogonal matrices - definition, properties. Approximation of functions. Recommended problems: examples from textbook, or done in class, homework problems for this section. Section 6. Gram Schmidt algorithm; Recommended problems: examples from textbook, or done in class, homework problems for this section. Review problems: Chapter test A, B page 294 Chapter 6: Eigenvalues and eigenvectors . Review Sections 1-3. Recommended problems: examples from textbook, or done in class, homework problems for this sections....
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This note was uploaded on 03/27/2008 for the course MATH 27 taught by Professor Jung during the Spring '08 term at A.T. Still University.

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