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Lecture
Linear Algebra: Diagonalization
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Matrix Similarity and Diagonalization
Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.
Linear Algebra: Matrix Representation
Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.
Vector Spaces: Operations and Linear Transformations
Explores vector space operations, linear transformations, matrix representation, and linear applications.
Diagonalization: Eigenvectors and Eigenvalues
Covers the diagonalization of matrices using eigenvectors and eigenvalues.
Linear Transformations: Matrices and Kernels
Covers linear transformations, matrices, kernels, and properties of invertible matrices.
Linear Algebra: Canonical Basis and Eigenvalues
Explores canonical basis, linear mapping, and eigenvalues in linear algebra.
Diagonalization of Matrices and Least Squares
Explores diagonalization of matrices, similarity relations, and eigenvectors in linear algebra.
Diagonalization Cream: Distinct Eigenvalues
Covers the diagonalization of matrices with distinct eigenvalues and the importance of this process.
Reducing an Application
Covers the reduction of an application, finding reduced forms of matrices, diagonalizability, and polynomial roots.
Diagonalization of Linear Transformations
Covers the diagonalization of linear transformations in R^3, exploring properties and examples.