Diagonalisation: Theorem and Demonstration

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Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.

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

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

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

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

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.

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

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

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