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MAT2020

Linear mathematics

4 points * First/Second semester * Clayton/Caulfield * Prerequisites: Any one of MAT1010, MAT1050, MAT1130, MAT1060 * Prohibitions: GAS2613

Objectives On the completion of this subject students will have an understanding of the theory and practical aspects of elementary linear algebra.

Synopsis Gaussian elimination: LU factorisation. Vector spaces: linear independence, basis, dimension. Linear transformation. Inner product: orthogonality, Gram-Schmidt procedure. Determinants. Eigenvalues and eigenvectors. Differential equations. Quadratic forms. Use of a computer algebra package.

Assessment Examination (1.5 hours): 80% * Tests and/or assignments: 20%

Prescribed texts

Nicholson W K Elementary linear algebra with applications 3rd edn, PWS-Kent, 1994


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