MATH 534B Computational Linear Algebra

MATH 534. COMPUTATIONAL LINEAR ALGEBRA II (Credit, 3 hours). Complex numbers, theory of equations, linear equations, matrices, determinants, vector spaces, linear transformations, matrix norms, the Gram-Schmidt orthogonalization process, orthogonal polynomials, eigenvalues and eigenvectors, digonalization, quadratic forms, positive definite matrices, non-negative matrices, applications: least square problems, differential equations; numerical linear algebra: Gaussian elimination, pivoting strategies, iterative methods, and the eigenvalue problem are covered. (Prerequisite: Math 364.)

Credits

3

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