Matrices - Application of Matrices
Matrices - Application of Matrices
Secondary 4
Ashlyn, Hayden and Kahlan took a multiple choice test which consists of \(40\) questions.
Kahlan attempted all the questions.
The table shows the results of the test and the marks awarded.
| Correct | Incorrect | Not attempted | |
|---|---|---|---|
| Ashlyn | \(30\) | \(6\) | \(4\) |
| Hayden | \(32\) | \(7\) | \(1\) |
| Kahlan | \(x\) | \(40 - x\) | \(0\) |
| Marks | \(2\) | \(-1\) | \(0\) |
- Evaluate \(\begin{pmatrix} 30 & 6 & 4 \\ 32 & 7 & 1 \\ x & 40 - x & 0 \end{pmatrix} \begin{pmatrix} 2 \\ -1 \\ 0 \end{pmatrix}\).
- Explain what your answer to (a) represents.
- If Kahlan has scored the highest marks, using your answer in part (a), find the least number of correct answers she has scored.
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Answer:(a) \(\begin{pmatrix}54\\57\\3x-40\end{pmatrix}\); (b) total marks of Ashlyn, Hayden and Kahlan respectively; (c) 33 correct answers.
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