MAT2020

Linear mathematics

M Reeder (First semester), A Pryde (Second semester)

4 points - Two 1-hour lectures per week - First/second semester - Clayton - Prerequisites: Any one of MAT1010, MAT1050, MAT1130, MAT1060, GAS1615 - Prohibitions: GAS2613

Objectives On the completion of this subject, students will have an understanding of the theory and practical aspects of elementary linear algebra, including an understanding of the role and importance of vector spaces and their applications; understand linear transformations, including orthogonality and change of basis; be able to solve linear eigenvalue problems; be able to identify when and where computer algebra packages can assist in their calculations; appreciate some of the applications of linear algebra.

Synopsis Vector spaces: linear independence, basis, dimension. Linear transformations: inner products and orthogonality; the Gram-Schmidt procedure; determinants; eigenvalues and eigenvectors; diagonalisation; quadratic forms; the use of a computer algebra package.

Assessment Examination (2 hours - Clayton, 3 hours - Gippsland and distance education): 70% - Assignments and/or tests: 30%

Prescribed texts

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

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