Scalar (mathematics)

Related lectures (29)

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Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers examples of vector spaces and the concept of subspaces, emphasizing key properties and verification methods.

Explores free generating families in linear algebra, discussing subspaces, stability, and linear dependency relations.

Explores vector space operations, linear transformations, matrix representation, and linear applications.

Explores Theorem 7.6 on the rank of the dual map in linear applications and delves into matrices and scalar matrices.

Covers notations, operations, isomorphism, and polar decomposition of complex numbers.

Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.