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Linear Algebra I

Category: Sciences

1. Matrices

(a) Definitions and algebra of matrices

(b) Diagonal and trace of matrices

2. Systems of Linear Equation

(a) using crammer's rule

(b) using the inverse of a matrix

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

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