Matrices Math Formula e-Book

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Matrices e-Book Math Formulas

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Topics:

1. Matrices

2. Definition

3. Order of a matrix

4. Equality of matrices

5. Types of Matrices

6. Trace of a Matrix

8. Properties of trace of a matrix

9. Addition and subtraction of matrices

10. Properties of matrix addition

11. Scalar multiplication of matrices

12. Properties of scalar multiplication

13. Multiplication of matrices

14. Properties of matrix multiplication

15. Positive integral powers of a matrix

16. Transpose of a matrix

17. Properties of transpose

18. Special Types of Matrices

19. Symmetric matrix

20. Skew-symmetric matrix

21. Properties of symmetric and skew-symmetric matrices

22. Singular and Non-singular matrix

23. Hermitian and Skew-hermitian matrix

24. Orthogonal matrix

25. Idempotent matrix

26. Involutory matrix

27. Nilpotent matrix

28. Unitary matrix

29. Periodic matrix

30. Differentiation of a matrix

31. Conjugate of a matrix

32. Properties of conjugates

33. Transpose conjugate of a matrix

34. Properties of transpose conjugate

35. Adjoint of a square matrix

36. Properties of adjoint matrix

37. Inverse of a matrix

38. Properties of inverse matrix

39. Rank of Matrix

40. Rank of a matrix

41. Echelon form of a matrix

42. Rank of a matrix in Echelon form

43. Homogeneous and non-homogeneous systems of linear equations

44. Solution of Non-homogeneous system of linear equations

45. Solutions of a homogeneous system of linear equations

46. Consistency of a system of linear equation AX = B, where A is a square matrix

47. Cayley-Hamilton theorem

48. Geometrical transformations

49. Matrices of rotation of axes

50. Point at the Glance