This is the first undergraduate course in linear algebra taken by students from a variety of disciplines. The course covers: matrix arithmetic and linear systems, vector space Rn and function spaces, determinants and diagonalization, orthogonality in Rn and least squares, introduction to linear mappings. Students will be required to understand all theoretical concepts involved, be able to solve the standard problems in each section and be able to do simple, short proofs of particular statements.

W.K. Nicholson: Linear Algebra with Applications , 4th edition.

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