Linear Algebra: Diagonalization

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

Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.

Explores eigenvalues, eigenvectors, and matrix diagonalization with examples and proofs.

Explores diagonalizing matrices, similarity, eigenvectors, and proper spaces.

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

Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.

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

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Covers the second criterion of diagonalization and similar matrices in linear applications.