1. Linear Algebra Lecture 1: Introduction
By:
Nur Uddin, Ph.D

2. Lecturer Name: Nur Uddin, PhD. Email: nur.uddin@upj.ac.id Education:
PhD in Eng. Cybernetics, NTNU, Norway (April 2016)
M. Eng in Mechanical Eng., GSNU, South Korea (Feb 2009)
B. Eng in Aeronautics Eng., ITB, Indonesia (Mar 2002)

3. Syllabus
See in another file

4. Linear algebra in daily life

5. Example 1 Price of 3 apples is NOK 12. What is the prices of an apple?
NOK: Norwegian Kroner

6. Example 2 Price of 3 bananas and 2 oranges is NOK 12.
Price of 1 banana and 2 oranges is NOK 8.
What are the prices of a banana and an orange?

7. Example 3 Price of 2 pears and 2 mangos is NOK 10.
Price of 1 pear and 1 mango is NOK 5.
What are the prices of a pear and a mango?

8. Linear equation

9. Linear equation system
Linear equation system (linear system) is a collection of one or more linear equations involving the same variables

12. Solution A linear system may have: No solution
One solution (exact solution)
Infinite solutions

13. Solving Linear System: Example 1

14. Solving Linear System: Example 2

15. Solving Linear System: Example 3

16. Matrix

17. Matrices multiplication

18. Matrices representation

19. Matrices representation

20. Matrix representation

21. Matrix representation

22. Matrix representation

23. Solution using inverse matrix

24. Solution using inverse matrix

25. Homework