1. Section 3.5 – Applications of Matrices and Determinants Pick Up Worksheet From Your Folder

2. 1. Find the area of the triangle whose vertices are (5, 2), (7, 1), (-2, 3) The area of the triangle is Application 1 – Areas of Plane Figures

3. 2. Find the area of the triangle whose vertices are: (-2, 1), (0, 4), (3, 6) The area of the triangle is

4. 3. Find the area of the parallelogram whose vertices are: (2, 6), (1, -3), (-2, 4), (-3, -5) The area of the parallelogram is 34.

5. 4. Find the area of the parallelogram whose vertices are: (7, 1), (0, 4), (6, 2), (-1, 5) The area of the parallelogram is 4.

6. 5. Use a determinant to determine whether the points (2, 7), (-3, -3), (5, 13) are collinear. Since determinant is zero, the three points are collinear Application 2 – Collinearity of Points

7. 6. Use a determinant to determine whether the points (1, -2), (-4, 1), (0, 3) are collinear. Since the determinant is non-zero, the three points are NOT collinear. They form a triangle whose area is 3.

8. Application #3 - Cryptology CUBS WIN 7.

10. Application #4 - Networking 9. Refer to worksheet for the problem. a. 2 1 4 3 b.

11. c. d.

12. Application #5 – Transition Matrices 10. Refer to worksheet for the problem. a. 1250 Iphones 750 Blackberries b. 952 Iphones 1048 Blackberries