Orthogonality and Least Squares Methods

Related lectures (27)

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Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

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

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

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

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Explores norms, orthogonality, and the Pythagorean theorem in vector spaces.

Covers norm, scalar product, and perpendicularity in R^n, including the theorem of Pythagoras and orthogonal complements.

Explores orthogonal complement and projection theorems in vector spaces.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.