Orthogonality, Triangle Inequality, Pythagorean Theorem

Related lectures (32)

Page 3 of 4

Explores Hilbert spaces, orthonormal systems, and the Bessel inequality, emphasizing their properties and significance.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Introduces orthogonal and orthonormal families in vector spaces with scalar products.

Explores polynomial operations, properties, and subspaces in vector spaces.

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

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

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

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

Covers vector spaces, topology, and proof methods like the pigeonhole principle in R^n.

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.