Class 12 Determinants · Mcq Single Correct1 Marksdeterminant_equations
Class 12 Maths · Determinants · Mcq Single Correct #7
For A=\(\begin{bmatrix}α & 2\\2 & α\end{bmatrix}\), det(A³)=27. Find all real α.
✅ Step-by-Step Solution
Final Answer: Option (D): ±√7
- det(A³)=det(A)³=(α²−4)³=27. Real cube roots give α²−4=3, so α=±√7.
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