Class 12 Matrices · Mcq Single Correct1 Markssymmetric_skew_decomposition
Class 12 Maths · Matrices · Mcq Single Correct #6
If \(\begin{bmatrix}2 & 0\\5 & 4\end{bmatrix}\)=P+Q, where P is symmetric and Q skew-symmetric, find Q.
✅ Step-by-Step Solution
Final Answer: Option (B): \(\begin{bmatrix}0 & −5/2\\5/2 & 0\end{bmatrix}\)
- The skew part is Q=(A−Aᵀ)/2=[[0,−5/2],[5/2,0]].
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