Complex Eigenvalues Appendix

Related lectures (28)

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Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.

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

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Covers polynomial factorization examples and polynomial division in complex numbers.

Explains the step-by-step process of diagonalization for linear transformations on finite-dimensional vector spaces.

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

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

Covers the decomposition of linear operators and properties of eigenspaces.

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.