Introduction to Linear Algebra: Syllabus, Examples, and Solutions
Delve into the fundamentals of linear algebra through a series of lectures and examples by Nur Uddin, Ph.D. Explore the application of linear algebra in daily life scenarios, solving linear equations and systems, matrices multiplication, and more. Understand the concept of linear systems, solutions, and matrix operations. Enhance your knowledge and problem-solving skills in linear algebra.
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Presentation Transcript
Linear Algebra Lecture 1: Introduction By: Nur Uddin, Ph.D 1
Syllabus See in another file 2
Example 1 Price of 3 apples is NOK 12. What is the prices of an apple? NOK: Norwegian Kroner 4
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? 5
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? 6
Linear equation system Linear equation system (linear system) is a collection of one or more linear equations involving the same variables 8
Solution A linear system may have: No solution One solution (exact solution) Infinite solutions 11
Matrix 15
Homework 24