Eigenvalue Geometric Multiplicity

Related lectures (26)

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

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

Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.

Covers matrix eigenvalues, eigenvectors, and their linear independence.

Explores diagonalization conditions, bases by eigenvectors, and generalization of concepts.

Explores the diagonalization of linear maps by finding a basis formed by eigenvectors.

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

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.