Three professors teaching the same course have entirely different grading policies. The percentage of students given each grade by the professors is summarized in the following matrix:

(a) The point values of the grades are A = 4, B = 3, C = 2, D = 1, and F = 0. Use matrix multiplication to determine the average grade given by each professor.
(b) Professor I has 240 students, professor II has 120 students, and professor III has 40 students. Use matrix multiplication to determine the numbers of As, Bs, Cs, Ds, and Fs given.

Transcribed Image Text:

Grade А в с D 25 35 30 10 A вс Prof. I Prof. II 10 20 40 20 10 5 10 20 40 25 Prof. III