Degree of an algebraic variety

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Matrix Similarity and Diagonalization

Explores matrix similarity, eigenvalues, and diagonalization in linear algebra.

Algebraic Multiplicity, Geometric Multiplicity

Explores algebraic and geometric multiplicities of eigenvalues in linear algebra.

Characteristic Polynomials and Similar Matrices

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

Diagonalization: Examples

Explores examples of diagonalization in linear algebra, focusing on eigenvalues and eigenvectors.

Intersection Numbers: Algebraic Counting Solutions

Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.

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Curve of Genus 2: Very Ample Divisors

Explores very ample divisors on curves of genus 2 and their implications.

Symmetric Matrices and Eigenvalues

Explores symmetric matrices, eigenvalues, and characteristic polynomials in matrix analysis.

Linear Algebra: Cofactors and Eigenvectors

Explains cofactors, eigenvectors, eigenvalues, and studying linear applications.

Characteristic Polynomial and Similar Matrices

Covers characteristic polynomials, similar matrices, eigenvalues, and algebraic multiplicities.