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Related lectures (22)

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

Explores linear dependence and independence of vectors in geometric spaces.

Covers linear applications, matrices, transformations, and the principle of superposition.

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

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Introduces algebraic properties, vector equations, and matrix operations.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Explores matrix representations of linear maps and their invariance, using examples and special cases.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Explores polynomial operations, properties, and subspaces in vector spaces.