| Exam Board | CAIE |
|---|
| Module | FP1 (Further Pure Mathematics 1) |
|---|
| Year | 2016 |
|---|
| Session | November |
|---|
| Topic | Invariant lines and eigenvalues and vectors |
|---|
3 Find a matrix \(\mathbf { A }\) whose eigenvalues are \(- 1,1,2\) and for which corresponding eigenvectors are
$$\left( \begin{array} { l }
1
0
0
\end{array} \right) , \quad \left( \begin{array} { l }
1
1
0
\end{array} \right) , \quad \left( \begin{array} { l }
0
1
1
\end{array} \right) ,$$
respectively.