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Related lectures (24)

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Covers the basics of linear mapping and coordinate systems.

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

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

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

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers linear independence, bases of vectors, and solving systems using matrices.

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

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.