Complete and Orthonormal Families

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Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.

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Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explains orthogonal families, bases, and projections in vector spaces.

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

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