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Mathematics-I (Units 1 and 2) Premium Lecture Notes - Sridhar Edition

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Mathematics-I (Units 1 and 2) Premium Lecture Notes - Sridhar Edition
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Mathematics-I (Units 1 and 2) Scanned Lecture Notes from Reputed Institutions and Faculties. Syllabus is based on Regulation 2013, Anna University Chennai.
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Mathematics-I (Units 1 and 2) Scanned Lecture Notes from Reputed Institutions and Faculties. Syllabus is based on Regulation 2013, Anna University Chennai.

Content :

UNIT-1
Introduction to matrices
Matrix addition
Matrix multiplication
Eigen values and eigenvectors
Properties of eigenvalue
Uses of cayley-hamilton theorem
Working rule
Diagonalisation of a matrix
Working rule for orthogonal diagonalisation
Canonical form
Nature of Q.F
Quadratic form
Reduction of quadratic form to conical form

UNIT-2
SEQUENCES AND SERIES
Sequence
Convergent sequence
Divergent sequence
Oscillation sequence
Monotonically increasing sequence
Monotonically decreasing sequence
Alternating sequence
Bounded sequence
Necessary condition for convergence
Geometric series
D’Alembert’s ratio test
Cauchys integral test
Alternating series
Leibnitz test
Series of positive and negative terms
Absolute and conditional convergence

Additional Information

Additional Information

Pages 103
Author N/A
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