Problem

Problem

If A=[12−14]A = \begin{bmatrix} 1 & 2 \\ -1 & 4 \end{bmatrix} and θ\theta be the angle between the two non-zero column vectors XX such that AX=λXAX = \lambda X for some scalar λ\lambda , then 9sec⁡2θ9 \sec^2 \theta is equal to a. 13 b. 12 c. 11 d. 10

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