JEE Math Practice Question
Let $$\alpha$$ and $$\beta$$ be real numbers. Consider a 3 $$\times$$ 3 matrix A such that $$A^2=3A+\alpha I$$. If $$A^4=21A+\beta I$$, then
- A.$$\alpha=1$$
- B.$$\alpha=4$$
- C.$$\beta=8$$
- D.$$\beta=-8$$
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