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Question Number 183814 by ali009 last updated on 30/Dec/22

$$determineeigenvaluesandeigenvectorsfor$$$$each\lambda .andverifyAx=\lambda x$$$$A=\left[\begin{array}{cc}\frac{\sqrt{3}}{2}& -\frac{1}{2}\\ \frac{1}{2}& \frac{\sqrt{3}}{2}\end{array}\right]$$

Answered by TheSupreme last updated on 30/Dec/22

$${\left\{x\right\}}^{\prime }=A\left\{x\right\}isarotationof\frac{\pi }{6}radscounterclockwise$$$$so{there}^{\prime }sno\left\{X\right\}such\alpha \left\{X\right\}=\left[A\right]\left\{X\right\}$$

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