Class 12 Matrices · Mcq Single Correct1 Marksmatrix_polynomials
Class 12 Maths · Matrices · Mcq Single Correct #18
For A=\(\begin{bmatrix}0 & 1\\-1 & 0\end{bmatrix}\), if (3I+4A)(3I−4A)=x²I, find all real x.
✅ Step-by-Step Solution
Final Answer: Option (C): \(\pm5\)
- A²=−I, so the product is 9I−16A²=25I. Therefore x²=25 and x=±5.
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