Lecture Notes

Dear Students the Lecture Notes has been uploaded for the following topics:
Introduction to Matrices,
EIGEN VALUES AND EIGEN VECTORS,
PROBLEMS ON EIGEN VALUES AND EIGEN VECTORS,
TUTORIAL 1,
PROPERTIES OF EIGEN VALUES AND EIGEN VECTORS,
CAYLEY HAMILTON THEOREM,
DIAGONALIZATION OF MATRICES,
TUTORIAL 2,
REDUCTION OF QUADRATIC FORM TO CANONICAL FORM,
PROBLEMS ON REDUCTION OF QUADRATIC FORM,
NATURE OF QUADRATIC FORM,
TUTORIAL 3,
Sequences: Definition and Examples,
Series: Types and Convergence,
Series of Positive Terms: Comparison Test,
Test of Convergence: Comparison Test,
Integral Test,
Alternating Series: Leibnitz Rule,
Absolute and Conditional Convergence,
CURVATURE AND RADIUS OF CURVATURE,
RADIUS OF CURVATURE,
CENTRE OF CURVATURE,
CIRCLE OF CURVATURE,
EVOLUTES,
PROPERTIES OF EVOLUTES,
ENVELOPES