Linear Applications: Change of Basis

Related lectures (26)

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Explains linear independence, basis, and matrix rank with examples and exercises.

Introduces the concept of basis and canonical basis in linear algebra, essential for vector space representation.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers the basics of linear mapping and coordinate systems.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

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

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

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Explores linear combinations, basis determination, and vector space dimensionality through practical examples and exercises.