Question 1 of 3 30 Points a) Define the following terms, 1. A matrix (2 Marks) il. A singular matrix (2 Marks) O ili. Transpose of a matrix. (2 Marks) 2 3 b. If A = 5 6 1 find the inverse of A. (6 Marks) 2 3 0 c. You have Kshs. 10,000 to invest. You want to invest the money in a stock mutual fund, a bond mutual fund and a money market fund. The expected returns are given in the following table Investment Expected return Stock mutual fund 10% Bond mutual fund Money market find You want your investment to obtain an overall annual return of 8%. A financial planner recommends that you invest the same amount in stocks as in bonds and the money market combined. How much money should you invest in each fund? (8 Marks)d. An experimenter wished to study the effect of 4 fertilizers on the yield of a crop. He divided the field into 24 plots and assigned each fertilizer a random to the plots. Part of his calculations are shown below, Source Degrees of SS s LL F5% freedom Fertilizers . . . ... ..... 2,940 O Within group . . . . . . ...+. Total 6,212 Complete the table then test at 5% level to see whether the fertilizers differ significantly. (10 Marks) O Click "Browse" to locate your file and then click "Upload" to upload your file. (Maximum file size: 40MB) File: Choose File | No file chosen Upload Next Save