Eigenvalues and Minimal Polynomial

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Explores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.

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

Covers the diagonalization of matrices with distinct eigenvalues and the importance of this process.

Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.

Showcases a non-diagonalizable matrix example and explores eigenvalues and eigenvectors.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Introduces eigenvalues, eigenvectors, and similar matrices, emphasizing diagonalization and geometric interpretations.

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

Covers the basics of linear mapping and coordinate systems.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.