Orthogonality and Least Squares Method

Related lectures (27)

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Introduces orthogonal vectors, scalar product, Euclidean norm, Pythagorean theorem, and unit vectors.

Explores orthogonality, triangle inequality, and the Pythagorean theorem in vector spaces.

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

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

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Explores orthogonality, scalar product, and orthonormal bases in vector spaces.

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

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

Covers linear independence, bases, and coordinate systems with examples and theorems.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.