16. $$\begin{gathered} M _ { 1 } = \left( \begin{array} { c c } 2 k - 9 & 5 - k
- k & k - 2 \end{array} \right)
M _ { 2 } = \left( \begin{array} { c c } 5 & 1
2 k - 3 & k - 3 \end{array} \right)
k \in \mathbb { R } \end{gathered}$$ Matrices \(M _ { 1 }\) and \(M _ { 2 }\) represent transformations \(T _ { 1 }\) and \(T _ { 2 }\) respectively.
\(\Delta\) is a triangle in the \(x y\)-plane with vertices at \(( 0,0 ) , ( 4,0 )\) and \(( 3,2 )\).
The image of \(\Delta\) under \(T _ { 1 }\) is \(\Delta _ { 1 }\) and the image of \(\Delta\) under \(T _ { 2 }\) is \(\Delta _ { 2 }\).
The area of \(\Delta _ { 2 }\) is greater than the area of \(\Delta _ { 1 }\).
Find the range of possible values of \(k\).
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