Orthogonality and Projections

Related lectures (27)

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Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

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

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

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

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

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

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