AQA
Further Paper 2
2022
June
— Question 11
2 marks
Exam Board
AQA
Module
Further Paper 2 (Further Paper 2)
Year
2022
Session
June
Marks
2
Topic
Invariant lines and eigenvalues and vectors
11
Find the eigenvalues and corresponding eigenvectors of the matrix
$$\mathbf { M } = \left[ \begin{array} { c c }
\frac { 5 } { 2 } & - \frac { 3 } { 2 }
- \frac { 3 } { 2 } & \frac { 13 } { 2 }
\end{array} \right]$$
11
Describe how the directions of the invariant lines of the transformation represented by \(\mathbf { M }\) are related to each other.
Fully justify your answer. [0pt]
[2 marks]
11
(ii) Describe fully the transformation represented by \(\mathbf { M }\)