| Exam Board | CAIE |
|---|
| Module | FP1 (Further Pure Mathematics 1) |
|---|
| Year | 2011 |
|---|
| Session | June |
|---|
| Topic | 3x3 Matrices |
|---|
15
\end{array} \right) .$$
Find the solution \(\mathbf { x } = \left( \begin{array} { l } \alpha
\beta
\gamma
\delta \end{array} \right)\) of the equation \(\mathbf { A } \mathbf { x } = \left( \begin{array} { r } 3
7
8
15 \end{array} \right)\) for which \(\alpha ^ { 2 } + \beta ^ { 2 } + \gamma ^ { 2 } + \delta ^ { 2 } = \frac { 11 } { 4 }\).