Vector Operations and Geometry

Related lectures (31)

Page 2 of 4

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

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

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

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

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

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

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

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

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Covers vector components, projections, conventions, operations, and mathematical identities.