Orthogonal Matrices, Equivalences

Related lectures (30)

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Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Explores the fundamental theorem on singular values and the formation of orthonormal bases from eigenvectors.

Explains orthogonal projection on a vector subspace in Euclidean space.

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

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Covers the theorems related to orthogonal projection and orthonormal bases.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Covers angular momentum in rotations, including preservation of angles and vector products.

Discusses isometries and orthonormal bases in mathematics.

Delves into modern geometry, covering transformations, isometries, and symmetries.