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- https://math.libretexts.org/Bookshelves/Linear_Algebra/Interactive_Linear_Algebra_(Margalit_and_Rabinoff)/05%3A_Eigenvalues_and_Eigenvectors/5.01%3A_Eigenvalues_and_EigenvectorsThis page explains eigenvalues and eigenvectors in linear algebra, detailing their definitions, significance, and processes for finding them. It discusses how eigenvectors result from matrix transform...This page explains eigenvalues and eigenvectors in linear algebra, detailing their definitions, significance, and processes for finding them. It discusses how eigenvectors result from matrix transformations and the linear independence of distinct eigenvectors. The text covers specific examples, including eigenvalue analysis for specific matrices and the conditions for eigenvalues, including zero.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Interactive_Linear_Algebra_(Margalit_and_Rabinoff)/04%3A_DeterminantsThis page discusses matrix equations, focusing on solving Ax=b, determining eigenvalues and eigenvectors, and finding approximate solutions. The current chapter emphasizes determinants, covering t...This page discusses matrix equations, focusing on solving Ax=b, determining eigenvalues and eigenvectors, and finding approximate solutions. The current chapter emphasizes determinants, covering their definition, properties, and computation methods. It includes cofactor expansions as a recursive calculation method and explores the geometric interpretation of determinants in relation to volumes in multivariable calculus.
- https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course/04%3A_R/4.04%3A_Spanning_Sets_in_R/4.4.E%3A_Exercise_for_Section_4.4This page outlines exercises focused on vector spans, requiring the identification of minimal sets of vectors that span the same space, checking vector inclusions, and demonstrating linear combination...This page outlines exercises focused on vector spans, requiring the identification of minimal sets of vectors that span the same space, checking vector inclusions, and demonstrating linear combinations. It includes theoretical components about spans, emphasizing that they always include the zero vector.
