Concept

Scalar multiplication

Related lectures (30)

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

Introduces scalar product, parallelism of vectors, and rate of change of a product.

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores the scalar product of vectors, including properties and calculation methods.

Delves into normal vectors in calculus, clarifying their role in integrals and parameterization of edges.

Covers eigenvalues, eigenvectors, and diagonalization of matrices.

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

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Covers the basics of vector spaces, including operational definitions, properties, examples in RN, inner products, norms, and distances.

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.

Covers the development of Taylor polynomials of order 1 and introduces related terminology and concepts.

Introduces the concept of vector spaces and covers properties of vectorial subspaces.

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Covers historical thermodynamics, continuity equations, state functions, and Cartesian products in scalar and vectorial forms.

Explains the concept of scalar product, its properties, and geometric interpretation.

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

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

Introduces scalars and vectors, explaining their properties and mathematical operations.

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