14 The matrix \(\mathbf { M }\) represents the transformation T , and is given by
$$\mathbf { M } = \left[ \begin{array} { c c }
3 & - 1
- 2 & 6
\end{array} \right]$$
14
- The point \(A\) has coordinates ( \(4 , - 5\) )
Find the coordinates of the image of \(A\) under T
14 - Show that the only invariant point under T is the origin.
14 - The line \(L _ { 1 }\) has equation \(y = x + 1\)
The transformation \(T\) maps the line \(L _ { 1 }\) onto the line \(L _ { 2 }\)
Find the equation of \(L _ { 2 }\) in the form \(y = m x + c\)