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Lecture
Eigenvalues, Eigenvectors: Stable Vectorial Lines
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Algebraic Multiplicity, Geometric Multiplicity
Explores algebraic and geometric multiplicities of eigenvalues in linear algebra.
Eigenvalues and Eigenvectors
Covers eigenvalues and eigenvectors, explaining their importance in linear algebra.
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Explores linear recurrences, applications between sets, and the significance of functions and operators in mathematics and physics.
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Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.
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Covers eigenvalues, eigenvectors, and the Fibonacci sequence, exploring their mathematical properties and practical applications.
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Explores canonical basis, linear mapping, and eigenvalues in linear algebra.
Diagonalization by Blocks
Introduces diagonalization by blocks and stable subspaces under linear transformations with examples and proofs.
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Explores diagonalization of matrices, similarity relations, and eigenvectors in linear algebra.
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Covers fundamental linear algebra concepts like vector spaces and eigenvalues.
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Covers matrix eigenvalues, eigenvectors, and their linear independence.