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 50% of the final grade to the midterm and 50% of the final grade to the final. Grading system 2 assigns 20% of the final grade to the midterm and 80% of the final grade to the final. 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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 50% of the final grade to the midterm and 50% of the final grade to the final. Grading
system 2 assigns 20% of the final grade to the midterm and 80% of the final grade to the final.
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.)
Transcribed Image Text: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 50% of the final grade to the midterm and 50% of the final grade to the final. Grading system 2 assigns 20% of the final grade to the midterm and 80% of the final grade to the final. 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.)
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
[5
0.5
0.2
0.8
Transcribed Image Text: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 [5 0.5 0.2 0.8
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