| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2013 |
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| Session | November |
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| Topic | 3x3 Matrices |
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2 Show that the matrix \(\left( \begin{array} { r r r } 1 & 4 & 2
3 & 0 & - 2
3 & - 3 & - 4 \end{array} \right)\) has no inverse.
Solve the system of equations
$$\begin{array} { r }
x + 4 y + 2 z = 0
3 x - 2 z = 4
3 x - 3 y - 4 z = 5
\end{array}$$