Eigenvalues Reduction: Two Real Eigenvalues

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

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

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

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

Covers the criteria for diagonalizing a matrix and provides illustrative examples.

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

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