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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.
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Linear transformations: rank, kernel, image, eigenvectors, diagonalisation
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Diagonalisation of symmetric matrices
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Application to solution of linear differential equations
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The Gram-Schmidt Process, orthogonal matrices, orthogonal reduction of
symmetric matrices
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Bilinear and quadratic forms
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Examples involving orthogonal polynomials and trigonometric polynomials
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Diagonalisation of a quadratic form by an orthogonal matrix, or by an arbitrary
non-singular matrix
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Linear programming: simplex method, revised simplex method
Texts
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J.B. Fraleigh & R.A. Beauregard, "Linear Algebra" (Addison Wesley)
References
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F. Ayres, "Matrices" (Schaum Outline)
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F. Ayres, "Modern Algebra" (Schaum Outline)
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S. Lipschutz, "Linear Algebra" (Schaum Outline)
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S. Lipschutz, "Discrete Mathematics" (Schaum Outline)
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