Subject Details
Dept     : CST
Sem      : 1
Regul    : 2019
Faculty : Ms.Shila
phone  : NIL
E-mail  :
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Lecture Notes

UNIT 1:
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Characteristic equations
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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 – Eigen values and Eigen vectors
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Statement and applications of Cayley – Hamilton theorem
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Diagonalization of Matrices
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Reduction of quadratic form to canonical form by orthogonal transformation
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Reduction of quadratic form to canonical form by orthogonal transformation
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Nature of quadratic form
UNIT 2:
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Series: Types and convergence
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Sequences: Definitions and examples.
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Series of positive terms: Comparison test
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Test of convergence-Comparison test
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D’Alembert’s ratio test
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D’Alembert’s ratio test

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