Question-3
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 |
What is the mathematical quantity associated with each of the following practical quantities:
The quiz-1 marks of all students
All the marks associated with student B.
The quiz-1 marks of all students represents a column vector. This is usually denoted as:
\[ \begin{bmatrix}50\\ 70\\ 80\\ 75 \end{bmatrix} \]
This is the second column in the table. Visually, a column vector is represented vertically. This column vector has \(4\) components. Each component corresponds to the quiz-1 marks of one of the students.
The marks associated with student B represents a row vector. This is usually denoted as:
\[ \begin{bmatrix}70 & 80 & 90\end{bmatrix} \]
This is the third column in the table. Visually, a row vector is represented horizontally. This row vector has \(3\) components. Each component corresponds to the marks scored by B in an exam.