Question-5
The marks obtained by four students in quiz-1, quiz-2 and the end-term exam are given below:
| Names | Quiz-1 | Quiz-2 | End-term |
|---|---|---|---|
| A | 50 | 60 | 60 |
| B | 70 | 80 | 90 |
| C | 80 | 90 | 100 |
| D | 75 | 80 | 85 |
After quiz-2, the students are given bonus marks. A, B, C and D are given the bonus marks \(5,6,1\) and \(4\) respectively.
Represent the bonus marks as a vector. What kind of a vector would this be?
Compute the final marks of the students after adding the bonus marks. What is the mathematical operation being performed here?
The current marks of students in quiz-2 is represented by the column vector \(\begin{bmatrix}60\\ 80\\ 90\\ 80 \end{bmatrix}\). The bonus marks can also be represented as this column vector: \(\begin{bmatrix}5\\ 6\\ 1\\ 4 \end{bmatrix}\). Adding these two vectors will give us the final quiz-2 marks:
\[ \begin{bmatrix}60\\ 80\\ 90\\ 80 \end{bmatrix}+\begin{bmatrix}5\\ 6\\ 1\\ 4 \end{bmatrix}=\begin{bmatrix}65\\ 86\\ 91\\ 84 \end{bmatrix} \]