Lecture Notes || SNS Courseware

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Subject Details

Dept : MECH

Sem : 1

Regul : 2023

Faculty : Gomathi P

phone : NIL

E-mail : gomathisenthilkumar2011@gmail.com

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Lecture Notes

UNIT 1:

Eigen values and Eigen vectors of a real matrix

Cayley Hamilton Theorem (statement only)-Problems

Cayley Hamilton Theorem â€“Applications

Properties of Eigen values and Eigen vectors

Eigen value problems arising from population models( Leslie model)

UNIT 2:

Diagonalization of a real symmetric matrix

Quadratic form

Canonical form

Nature of the quadratic form

Reduction of quadratic form to canonical form by orthogonal transformation

Applications: Stretching of an elastic membrane.

UNIT 3:

Curvature

Radius of curvature

Centre of curvature

Circle of Curvature

Envelopes

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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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Cayley Hamilton Theorem (statement only)-Problems

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Cayley Hamilton Theorem â€“Applications

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