7. Evaluate the determinate |1 2 (d) 2 5 2 5 7 1 5 8 (e) 1 7 9 5 5 12 3 2 1 (f) 2 3 4 1 4 1

1. Use your knowledge of how elementary row operations affect determinants to find the determinant of A given below. |5 10 15 20 1 |A| = 2 2 3 -3 = 4 9 5 -3 1/6 1/7|

7.2 #2  The question is in the picture. Please be as thorough as possible in the explanation. answer a and f

Classify the following operators on R4 by similarity (missing entries are 0): (a) 01 2002 (c) 0 0 0 NEIT -2 0 0 (e) 0 0 0 100 0 0 0 (d) 02 0 3 1 0 0 -1 (b) 1 0 -1 -1 0 40 0 4 00

6. Practice interpreting coefficients and R-squared Suppose you are interested in studying the determinants of wages. You plan to use the following model: wage — Во + Beduc + Bzеzрer+u where wage = annual salary, in thousands of dollars educ = years of education exper = years of work experience You run the ression, and obtain the ving results: wage 12+1.1 eduс + 1.5 егреr n = 200 R = 0.07 The predicted wage for an individual with 12 years of education and 1 year of experience is The predicted wage for an individual with the same years of work experience but one additional year of education (that is, 13 years) is v. The marginal effect of one extra year of education is The R of this regression indicates that v % of the variation in wage is explained by educ and exper together. Suppose you suspect that wages might be affected by the weight of each individual, either through discrimination based on weight by employers or decreased productivity, and therefore wages, brought on by an…