| Exam Board | CAIE |
|---|
| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2015 |
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| Session | June |
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| Topic | 3x3 Matrices |
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2 Find the value of the constant \(k\) for which the system of equations
$$\begin{aligned}
2 x - 3 y + 4 z & = 1
3 x - y & = 2
x + 2 y + k z & = 1
\end{aligned}$$
does not have a unique solution.
For this value of \(k\), solve the system of equations.