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Class 12 Matrices · Conceptual Answer1 Markssymmetric_and_skew_symmetric

Class 12 Maths · Matrices · Conceptual Answer #83

Write the 2×2 real matrix that is both symmetric and skew-symmetric.

✅ Step-by-Step Solution

Final Answer: \(\begin{bmatrix}0 & 0\\0 & 0\end{bmatrix}\)
  1. The conditions Aᵀ=A and Aᵀ=−A give A=−A, so every entry is zero.
  2. \(\begin{bmatrix}0 & 0\\0 & 0\end{bmatrix}\)

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The conditions Aᵀ=A and Aᵀ=−A give A=−A, so every entry is zero.
  • [0.5 marks] \(\begin{bmatrix}0 & 0\\0 & 0\end{bmatrix}\)

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