Introduction to Linear Algebra: Syllabus, Examples, and Solutions

Introduction to Linear Algebra: Syllabus, Examples, and Solutions
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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.

  • Linear Algebra
  • Examples
  • Solutions
  • Matrices
  • Linear Equations

Uploaded on Feb 17, 2025 | 2 Views


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

  2. Syllabus See in another file 2

  3. Linear algebra in daily life 3

  4. Example 1 Price of 3 apples is NOK 12. What is the prices of an apple? NOK: Norwegian Kroner 4

  5. 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

  6. 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

  7. Linear equation 7

  8. Linear equation system Linear equation system (linear system) is a collection of one or more linear equations involving the same variables 8

  9. 9

  10. 10

  11. Solution A linear system may have: No solution One solution (exact solution) Infinite solutions 11

  12. Solving Linear System: Example 1 12

  13. Solving Linear System: Example 2 13

  14. Solving Linear System: Example 3 14

  15. Matrix 15

  16. Matrices multiplication 16

  17. Matrices representation 17

  18. Matrices representation 18

  19. Matrix representation 19

  20. Matrix representation 20

  21. Matrix representation 21

  22. Solution using inverse matrix 22

  23. Solution using inverse matrix 23

  24. Homework 24

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