The final grade in a particular course is determined by grades on the midterm and final. The grades for five students and the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Complete parts (a) and (b). Click to view the matrices. a. Describe the grading system that is represented by matrix B. Grading system 1 assigns% of the final grade to the midterm and % of the final grade to the final. Grading system 2 assigns % of the final grade to the midterm and % of the final grade to the final.

The final grade in a particular course is determined by grades on the midterm and final. The grades for five students and the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Complete parts (a) and (b). Click to view the matrices. a. Describe the grading system that is represented by matrix B. Grading system 1 assigns% of the final grade to the midterm and % of the final grade to the final. Grading system 2 assigns % of the final grade to the midterm and % of the final grade to the final.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

100%

The final grade in a particular course is determined by grades on the midterm and final. The grades for five students
and the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Complete
parts (a) and (b).
Click to view the matrices.
a. Describe the grading system that is represented by matrix B.
Grading system 1 assigns% of the final grade to the midterm and % of the final grade to the final. Grading
system 2 assigns of the final grade to the midterm and of the final grade to the final.

Data table
Student 1
Student 2
Student 3
Student 4
Student 5
Midterm
76
80
90
87
60
Final
88
80
84
70
79
Midterm
Final
System 1 System 2
0.5
0.2
0.5
0.8
X

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Follow-up Question

b. Compute the matrix AB and assign each of the five students a final course grade first using system 1 and then using
system 2. (89.5-100=A, 79.5-89.4 = B, 69.5-79.4 = C, 59.5-69.4D, below 59.5 = F)
Grade System 1 System 2
Student 1
Student 2
Student 3
Student 4
Student 5
(Type A, B, C, D, or F.)

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