MATH 424 Advanced Linear Algebra
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Determinant Functions, Multilinear Functions, The Grassman Ring, Characteristic values, annihilating polynomials, invariant subspaces, simultaneous triangulation, simultaneous diagonalization, direct-sum decompositions, invariant direct sums, primary decomposition theorem, cyclic subspaces, annihilators, rational canonical form, Jordan form, invariant factors, semisimple operators, inner products, inner product spaces, linear functionals, adjoints, unitary operators, normal operators, bilinear forms, sesquilinear forms, positive forms, spectral theory, symmetric bilinear forms, skew-symmetric forms, groups preserving bilinear forms.
Credit units: 3 ECTS Credit units: 5, Prerequisite:
MATH 223 and MATH 327.
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