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Axiomatic, analytic, transformational, and algebraic approaches to geometry shall be used. The relationship between Euclidean geometry, the geometry of complex numbers, and trigonometry shall be emphasized. Topics embody inner product areas, norms, self adjoint and normal operators, orthogonal and unitary operators, orthogonal projections and the spectral theorem, bilinear and quadratic forms, generalized eigenvectors, and Jordan canonical form.
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