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May 01, 2024
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MATH 7234 - Advanced Linear Algebra (3 Credit Hours) Lecture Hours: 3 Lab Hours: 0 The study of linear maps on finite dimensional vector spaces. Topics include: diagonalization (direct sums, invariant subspaces and Cayley-Hamilton theorem for linear operators), inner product spaces (self-adjoint, orthogonal operators, orthogonal projections and the spectral theorem, bilinear and quadratic forms), canonical forms (Jordan and rational forms, minimal polynomials), special matrices (non-negative matrices), and the exponential of a linear operator.
Prerequisite(s): A minimum grade of “C” in MATH 5335 . Restriction(s): NO Undergraduate Level Students
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