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Class 12 Matrices · Mcq Single Correct1 Marksmatrix_polynomials

Class 12 Maths · Matrices · Mcq Single Correct #17

If A=\(\begin{bmatrix}α & β\\γ & −α\end{bmatrix}\) satisfies A²=3I, which relation holds?

✅ Step-by-Step Solution

Final Answer: Option (C): 3−α²−βγ=0
  1. Multiplication gives A²=(α²+βγ)I₂; equality with 3I₂ gives 3−α²−βγ=0.

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