Matematic

1. CHAPTER 1:CHAPTER 1:
MatrixMatrix

2. INTRODUCTIONINTRODUCTION

3. INTRODUCTIONINTRODUCTION

4. INTRODUCTIONINTRODUCTION

5. CLASSIFICATION/TYPES OFCLASSIFICATION/TYPES OF
MATRICESMATRICES
a) Column Matrix
b) Row Matrix
c) Square Matrix
d) Diagonal Matrix
e) Special Matrix – includes:
i) Zero matrix
ii) Identity matrix

6. CLASSIFICATION/TYPES OFCLASSIFICATION/TYPES OF
MATRICESMATRICES

7. CLASSIFICATION/TYPES OFCLASSIFICATION/TYPES OF
MATRICESMATRICES

8. CLASSIFICATION/TYPES OFCLASSIFICATION/TYPES OF
MATRICESMATRICES
If a square matrix has at least one non-zero element on its main diagonal and
all the other elements are zero, the matrix is known as diagonal matrix or aij = 0
for i ≠ j.

9. CLASSIFICATION/TYPES OFCLASSIFICATION/TYPES OF
MATRICESMATRICES
Special Matrix

10. MATRIX OPERATIONSMATRIX OPERATIONS

11. Equality of MatrixEquality of Matrix

12. TransposeTranspose

13. Matrix AdditionMatrix Addition
IMPORTANT:

14. Matrix SubtractionMatrix Subtraction

15. Scalar MultiplicationScalar Multiplication

16. Matrix MultiplicationMatrix Multiplication
Multiplication of two matrices is possible only if the number of columns of the
first matrix is the same as the number of the row of the second matrix. Suppose
the first matrix is denoted by Am×n and the second matrix is Bs×t. The
multiplication of Am×n × Bs×t can be done if and only if n = s. The product of this
multiplication is another matrix (say C) with m rows and t columns. If AB exists,
then
Tips:Tips:

17. Matrix MultiplicationMatrix Multiplication

18. DETERMINANTDETERMINANT

19. DETERMINANTDETERMINANT

20. DETERMINANTDETERMINANT

21. DETERMINANTDETERMINANT

22. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES
Two methods:
a)Inverse Matrix
b)Cramer’s Rule

23. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

24. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

25. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

26. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

27. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

28. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

29. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

30. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

31. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

32. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

33. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

34. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

35. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

36. SOLVING LINEAR EQUATIONSOLVING LINEAR EQUATION
SYSTEM USING MATRICESSYSTEM USING MATRICES

37. ANY QUESTIONS??ANY QUESTIONS??