9231 P11 - Nov 2016 - Q3 - 7 marks
6318
Find a matrix \(\mathbf{A}\) whose eigenvalues are \(-1,1,2\) and for which corresponding eigenvectors are
\(\left(\begin{array}{l} 1 \\ 0 \\ \end{array}\right), \quad\left(\begin{array}{l} 1 \\ 1 \\ \end{array}\right), \quad\left(\begin{array}{l} 0 \\ 1 \\ \end{array}\right),\)
respectively.
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