1. 1 1.9 © 2016 Pearson Education, Inc. Linear Equations in Linear Algebra THE MATRIX OF A LINEAR TRANSFORMATION

2. Slide 1.9- 2 © 2016 Pearson Education, Inc. THE MATRIX OF A LINEAR TRANSFORMATION (3)

3. Slide 1.9- 3 © 2016 Pearson Education, Inc. THE MATRIX OF A LINEAR TRANSFORMATION

4. Slide 1.9- 4 © 2016 Pearson Education, Inc. THE MATRIX OF A LINEAR TRANSFORMATION

5. Slide 1.9- 5 © 2016 Pearson Education, Inc. THE MATRIX OF A LINEAR TRANSFORMATION

6. Slide 1.9- 6 © 2016 Pearson Education, Inc.  Tables 1-4 illustrate other common geometric linear transformations of the plane.

7. Slide 1.9- 7 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS  Table 1 continued:

8. Slide 1.9- 8 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS  Table 1 continued:

9. Slide 1.9- 9 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS

10. Slide 1.9- 10 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS

11. Slide 1.9- 11 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS

12. Slide 1.9- 12 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS

13. Slide 1.9- 13 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS

14. Slide 1.9- 14 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS

15. Slide 1.9- 15 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS

16. Slide 1.9- 16 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS

17. Slide 1.9- 17 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS

18. Slide 1.9- 18 © 2016 Pearson Education, Inc. EXISTENCE AND UNIQUENESS QUESTIONS