Scalar multiplication

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Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

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

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

Explores the definition and properties of vector subspaces in linear algebra.

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

Explores the properties of linear transformations through step-by-step calculations and matrix manipulations.

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

Covers the structure of vector spaces in R2 and R3, focusing on scalar multiplication and addition.

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.