Can one learn linear algebra solely by solving problems?
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Articles may be expositions of old or new results, historical or biographical essays, speculations or definitive treatments, broad developments, or explorations of a single application.
Because I keep running into easily stated linear algebra problems that I feel I should be able to solve, but don't see any obvious approach to get started.This content is cyberlink powerdirector 11 ultimate suite crack available through Read Online (Free) program, which relies on page scans.Appropriate figures, diagrams, and photographs are encouraged.Please refer a problem book on linear algebra containing the following topics: Vector spaces, linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, range space and null space, rank-nullity theorem; eigenvalues and eigenvectors, Cayley-Hamilton theorem; symmetric, skew-symmetric, hermitian.Novelty and generality are far less important than clarity of exposition and broad appeal.Ideally, such a reference would also contain challenging problems (and techniques to solve them) about orthogonal matrices, unitary matrices, positive definiteness.
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Its readers span a broad spectrum of mathematical interests, and include professional mathematicians as well as students of mathematics at all collegiate levels.Paul Halmos thinks so, and you will too once you read this book.The American Mathematical Monthly, vol.Authors are invited to submit articles and notes that bring interesting mathematical ideas to a wide audience.Complete: Journals that are no longer published or that have been combined with another title.