Find all the eigen vectors of the matrix $A$ corresponding to eigen v…

Previous year question for Engineering Mathematics-II.

Question

Find all the eigen vectors of the matrix $A$ corresponding to eigen values $1, 5$; where $A = \begin{bmatrix} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{bmatrix}$

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