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Class 12 Matrices · Mcq Single Correct1 Markstranspose_operations

Class 12 Maths · Matrices · Mcq Single Correct #11

A 3×3 matrix P satisfies Pᵀ=2P+I. Find P.

✅ Step-by-Step Solution

Final Answer: Option (B): P=−I
  1. Transposing gives P=2Pᵀ+I=2(2P+I)+I=4P+3I, so −3P=3I and P=−I.

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