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Class 12 Matrices · Conceptual Answer1 Markssymmetric_and_skew_symmetric

Class 12 Maths · Matrices · Conceptual Answer #41

For which x is \(\begin{bmatrix}0 & 1 & -2\\-1 & 0 & 3\\x & -3 & 0\end{bmatrix}\) skew-symmetric?

✅ Step-by-Step Solution

Final Answer: x=2
  1. Skew-symmetry requires a₃₁=−a₁₃, so x=−(−2)=2; the remaining entries already satisfy the rule.
  2. x=2

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Skew-symmetry requires a₃₁=−a₁₃, so x=−(−2)=2; the remaining entries already satisfy the rule.
  • [0.5 marks] x=2

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