The question is as follows:
The matrix M is defined by:
\begin{bmatrix}
-1 & -1 \\
1 & -1 \\
\end{bmatrix}
Given that M represents an enlargement followed by a rotation, find the scale factor
of the enlargement and the angle of the rotation.
Isn't there multiple different correct answers for this question?
According to this exam paper there is only one
Exam Paper Question 6(b)(i)
http://filestore.aqa.org.uk/subjects/AQA-MFP1-QP-JUN12.PDF
Mark scheme Question 6(b)(i) http://filestore.aqa.org.uk/subjects/AQA-MFP1-W-MS-JUN12.PDF
Best Answer
At the very least, there are two answers: scale factor $c$ and rotation $\theta$, and scale $-c$ and rotation $\theta + \pi$. Perhaps "enlargement", in the language of this test, means that the scale factor must be positive.