Matrices, linear systems, Gaussian elimination, vector spaces and subspaces, bases, rank of a matrix, linear transformations, nucleus and image, eigenvectors and eigenvalues, diagonalization, internal product, orthogonalization, projections, quadratic shapes.
Basic Information
Mandatory:
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Poole, David. Linear Algebra, Thomson, 2004;
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Strang, Gilbert. Linear Algebra and its applications. Cengage Learning, 2009;
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Lima, Elon Lages. Linear algebra. IMPA, 2004.
Complementary:
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Strang, G. Introduction to Linear Algebra,. Wellesley-Cambridge;
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Steinbruch, Alfredo; Winterle, Paulo. Linear algebra. Pearson, 2010;
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Da Fonseca, Manuel A.R. Linear Algebra Applied to Finance, Economics and Econometrics. Manole, 2003;
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Boldrini, J. L. and others. Linear algebra. Harbra, 1998;
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Lipschutz, Seymour; Lipson, Marc. Linear algebra. Schaum Collection, Bookman, 2004.