Real Vector Space: Basics

Related lectures (30)

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

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

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

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

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

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

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

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

Explores the definition and properties of Hermitian forms in complex vector spaces.

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