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Course Details:

Course Details:

1. Matrices

(a) Definitions and algebra of matrices

(b) Diagonal and trace of matrices

(c) Inverse of a matrix

2. Systems of Linear Equation

(a) using crammer's rule

(b) using the inverse of a matrix

(c) Gaussian Elimination Method

3. Polynomial of Matrices

4.  Caley-Hamilton theorem

5. Characteristic Polynomials of Matrices

6. Change of Basis

7. Eigen value and Eigen Vector

8. Bilinear  and Quadratic forms

9.  Orthogonal Diagonalisation


Course Details:

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Course Details:

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