Matrices

Matrices

1. Minors and Cofactors and Adjoint Matrix

2. Trace of a matrix

3. Types of Matrices

4. Singular/ Non Singular Matrix

5. Addition/ Subtraction/ Scalar Multiplication and its properties

6. Matrix Multiplication - Conditions and Properties

7. Transpose of a Matrix

8. Symmetric and Skew Symmetric Matrix

9. Idempotent, Nilpotent, Periodic, Involutory Matrix

10. Inverse of a Matrix

    • Gauss Jordon Method
    • using Adjoint
    • Cayley hamilton Theorem

11. Orthogonal Matrix

12. Properties of a inverse of a matrix

13. Rank of a Matrix and RREF

14. Cayley Hamilton Theorem and Characteristic Equation

15. Solution to a System of Linear Equations

    • Cramer's Method
    • Partial Pivot Method
    • Matrix Inversion Method