| Exam Board | SPS |
|---|
| Module | SPS FM Pure (SPS FM Pure) |
|---|
| Year | 2022 |
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| Session | June |
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| Topic | Linear transformations |
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5. The triangle \(T\) has vertices at the points \(( 1 , k ) , ( 3,0 )\) and \(( 11,0 )\), where \(k\) is a positive constant. Triangle \(T\) is transformed onto the triangle \(T ^ { \prime }\) by the matrix
$$\left( \begin{array} { c c }
6 & - 2
1 & 2
\end{array} \right)$$
Given that the area of triangle \(T ^ { \prime }\) is 364 square units, find the value of \(k\).
[0pt]
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