Syllabus  MA303
MA313/314 Linear Algebra
Those taking this course are required to access and solve problems related
to the course on the mathematical laboratory program MATRIX.

Linear transformations: rank, kernel, image, eigenvectors, diagonalisation

Diagonalisation of symmetric matrices

Application to solution of linear differential equations

The GramSchmidt Process, orthogonal matrices, orthogonal reduction of
symmetric matrices

Bilinear and quadratic forms

Examples involving orthogonal polynomials and trigonometric polynomials

Diagonalisation of a quadratic form by an orthogonal matrix, or by an arbitrary
nonsingular matrix

Linear programming: simplex method, revised simplex method
Texts

J.B. Fraleigh & R.A. Beauregard, "Linear Algebra" (Addison Wesley)
References

F. Ayres, "Matrices" (Schaum Outline)

F. Ayres, "Modern Algebra" (Schaum Outline)

S. Lipschutz, "Linear Algebra" (Schaum Outline)

S. Lipschutz, "Discrete Mathematics" (Schaum Outline)
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