UNIT 1:
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Eigen values and Eigen vectors of a real matrix
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Eigen values and Eigen vectors of a real matrix
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Eigen values and Eigen vectors of a real matrix
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Eigen values and Eigen vectors of a real matrix
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Eigen values and Eigen vectors of a real matrix
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Properties of Eigen values and Eigen vectors
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Cayley Hamilton Theorem (statement only)-Problems
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Cayley Hamilton Theorem –Applications
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Eigen value problems arising from population models( Leslie model)
UNIT 2:
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Diagonalization of a real symmetric matrix
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Quadratic form
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Canonical form
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Reduction of quadratic form to canonical form by orthogonal transformation
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Applications: Stretching of an elastic membrane.
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Nature of the quadratic form
UNIT 3:
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Curvature
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Radius of curvature
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Centre of curvature
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Circle of Curvature
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Evolutes
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Envelopes
