Linear Algebra

Basic information

Workload: 

90 hours

Prerequisite: 

Analytical Geometry.

Syllabus: 

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.

 

Teaching Plan

Bibliography

Mandatory: 

  • Poole, David. Linear Algebra, Thomson, 2004; 
  • Strang, Gilbert. Linear Algebra and its applications. Cengage Learning, 2009; 
  • Lima, Elon Lages. Linear algebra. IMPA, 2004. 

Complementary: 

  •  Strang, G. Introduction to Linear Algebra,. Wellesley-Cambridge; 
  • Steinbruch, Alfredo; Winterle, Paulo. Linear algebra. Pearson, 2010; 
  • Da Fonseca, Manuel A.R. Linear Algebra Applied to Finance, Economics and Econometrics. Manole, 2003; 
  • Boldrini, J. L. and others. Linear algebra. Harbra, 1998; 
  • Lipschutz, Seymour; Lipson, Marc. Linear algebra. Schaum Collection, Bookman, 2004.