1. DEVELOPING EXPERT VOICES Applied Math 40s 2007 CREATOR: JENNIFER Question 1 : Matrices

6. MATRICES: Answer – Q.1 Part C c) Calculate the number of employed and unemployed people in the second year. Label the answer as A2. To find these numbers, you will have to multiply the number of people in each category to each column in the transition matrix. 1640 x 0.9 = 1476 160 x 0.7 = 112 1476 + 112 = 1588 1640 x 0.1 = 164 160 x 0.2 = 32 164 + 32 = 196 This means after 1 year there will be 1588 people employed and 196 people unemployed .

7. MATRICES: Answer – Q.1 Part D d) Calculate the number of employed and unemployed people in the third year. Label the answer as A3 To find these numbers, you can either multiply A2 by the transition matrix , or you can multiply matrix A1 by T² This calculation indicates that after two years there will be about 1566 people employed and 198 people unemployed.

8. MATRICES: Answer – Q.1 Part E e) Compare the answers and discuss the significance of the changes each year. In the first year there are 1588 people employed and 196 people unemployed. In the second year there are 1566 people employed and 198 people unemployed. This indicates that the changes are becoming less important each year, but the unemployment rates are increasing.