Orthogonality, Triangle Inequality, Pythagorean Theorem

Related lectures (32)

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

Covers the definition of norm, distance between vectors, and Cauchy-Schwarz inequality.

Covers mathematical concepts related to vector operations and geometry, including scalar product and vector norms.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Covers matrix operations, scalar products, vector norms, and orthogonality in vector spaces.

Explores the properties and applications of the dot product in vector spaces.

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Explores the Gram-Schmidt process for constructing orthogonal vectors in a vector space.

Introduces the first step in finding an orthogonal/orthonormal base in a vector space.