CAIE FP1 2013 November — Question 22

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2013
SessionNovember
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicInvariant lines and eigenvalues and vectors
TypeFind invariant lines through origin
DifficultyModerate -0.5 This appears to be an incomplete question about finding invariant lines or eigenvectors for a 2×2 matrix. Standard Further Pure 1 content typically involves routine application of the characteristic equation and solving linear systems. While Further Maths topics are inherently harder, basic eigenvalue/eigenvector problems are algorithmic and well-practiced, making this easier than average for A-level overall but standard for FP1.

22 \end{array} \right)$$ has the form $$\mathbf { x } = \left( \begin{array} { r }

22
\end{array} \right)$$

has the form

$$\mathbf { x } = \left( \begin{array} { r }

\hfill \mbox{\textit{CAIE FP1 2013 Q22}}