Lecture Notes || SNS Courseware

Lecture Notes

UNIT 1:

Eigen values and Eigen vectors of a real matrix

Problems Eigen values and Eigen vectors of a real matrix

Introduction to Matrices and Characteristic equations

Properties – Eigen values and Eigen vectors

Statement and applications of Cayley – Hamilton theorem

Diagonalization of Matrices

Nature of quadratic form

Reduction of quadratic form to canonical form by orthogonal transformation

Problems Reduction of quadratic form to canonical form by orthogonal transformation

Lecture Notes