First Sentence:
Linear algebra is concerned with two basic kinds of quantities: "vectors" and "matrices."
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Key Phrases - Statistically Improbable Phrases (SIPs):
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orthogonal diagonalizability, successive column vectors, whose standard matrix, signed elementary products, reduced singular value decomposition, unifying theorem, row echelon form, singular value expansion, entry scaling, unknown flow rates, same row space, appropriate transition matrix, minimum distance problem, consumption matrix, inner product axioms, basis that results, vector space axioms, same linear operator, standard matrices, nonzero row vectors, authority vectors, use that command, cofactor expansion, inverse power method, same null space
Key Phrases - Capitalized Phrases (CAPs):
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Exercise Set, Technology Exercises, Proof Let, New York, Confirm Formula, Solution Let, Lxercise Set, Albert Einstein, Properties of Bases, United States, World War, Application of Quadratic Forms, Arthur Cayley, Carl Friedrich Gauss, James Sylvester, Matrix Factorizations, Proof Assume, Compute the Rayleigh, Giuseppe Peano, Issai Schur, Projection Using, Referencing Site, Theory of Matrices, Water Mixture
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