Question-4
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 |
The marks of student A are halved for each exam. Which mathematical operation does this correspond to on the columns and rows of the above table?
The marks of student A represents the row vector \(\begin{bmatrix}50 & 60 & 60\end{bmatrix}\). Halving the marks of A in each exam corresponds to scalar multiplication of the row vector by \(0.5\):
\[ 0.5\cdot\begin{bmatrix}50 & 60 & 60\end{bmatrix}=\begin{bmatrix}25 & 30 & 30\end{bmatrix} \]