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Professor Alexandru I. Suciu
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MTH U371 · Linear Algebra
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Spring
2006
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 Course Information
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Course
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MTH U371 · Linear Algebra, Sec. 1, Seq. 2, Key # 63246
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Instructor
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Alex Suciu
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Course Web Site
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www.math.neu.edu/~suciu/U371/linalg.sp06.html
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Time and Place
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Mon, Wed, Th 9:15-10:20am, in 215 Shillman Hall
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Office
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441 Lake Hall
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Phone
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(617) 373-4456
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Email
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a.suciu@neu.edu
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Office Hours
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Mon 10:30-11:30am, Wed 1:45-2:45pm, or by appointment
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Textbook
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Linear Algebra with Applications, 3/E,
by Otto Bretscher,
Prentice Hall, 2005
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Grade
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60% in-class exams, 40% final exam
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Homework Assignments
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Section
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Problems
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1.1: Linear systems and their geometry
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1, 7, 10, 20, 21, 34
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1.2: Matrices & Gaussian elimination
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2, 4, 5, 7, 18, 20--22, 29--31, 34, 35, 41
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1.3: Solutions and matrices
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1--8, 10--15, 21--32, 34, 36, 47, 55
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2.1: Linear transformations, inverses
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1--3, 5, 6, 9, 24--30, 35
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2.2: Geometry of linear transformations
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1, 4, 6--10, 17, 19, 21, 23, 25, 26, 49
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2.3: The inverse of a linear transformation
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1--5, 17, 19, 35--41 (odd only)
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2.4: Matrix products
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3, 5, 11, 13, 16--25, 29, 47, 76
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3.1: Subspaces, images and kernels
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1, 3, 5, 7, 10, 14, 15, 23, 25, 33, 35, 42, 44, 46
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3.2: Bases and linear independence
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1, 3, 11--33 (odd only), 24, 34, 37, 39, 46, 49, 52
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3.3: Dimension of a subspace
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1, 3, 5, 7, 11, 13, 17, 21, 23, 27--30, 36--39
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5.1: Orthonormal bases and projections
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1, 3, 5, 13, 15, 17, 27, 35
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5.2: Gram-Schmidt process & QR-factorization
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5, 7, 19, 21, 33, 35
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5.3: Orthogonal matrices
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5--8, 13--17, 27--29
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5.4 Least squares & data fitting
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1, 2, 5, 7, 8, 11, 13, 17--25, 31--33
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5.5 Inner product spaces
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1, 2, 3b
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6.1 Determinants
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1--11 (odd only), 17, 27
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6.2 Properties of determinants
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1,6,24--26,31
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7.1 Eigenvectors, iteration of matrices
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1--7, 9, 15--22, 34
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7.2 Finding eigenvalues
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1--13 (odd only), 28
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7.3 Finding eigenvectors
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1--13 (odd only), 21, 44, 46
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7.4 Diagonalization and similarity
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1, 3, 5, 17, 31, 33, 35, 41
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7.5 Complex eigenvalues
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1, 2, 5, 8, 20, 23
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7.5 Stability
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1, 11, 17
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8.1 Symmetric matrices
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1, 3, 7
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8.2 Quadratic forms
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1, 4, 9
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8.3 Singular value decomposition
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1, 2, 4, 6, 12, 13, 14
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Class Materials
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