Cayley-Hamilton Theorem

Related lectures (24)

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Covers matrices, linear applications, vector spaces, and bijective functions.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

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

Covers the basics of linear mapping and coordinate systems.

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

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

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

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

Covers the definitions and properties of matrices, including matrix operations and determinants.

Explores eigenvalues and minimal polynomial, emphasizing their importance in linear algebra.