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Class 12 Matrices · Conceptual Answer1 Markssymmetric_and_skew_symmetric

Class 12 Maths · Matrices · Conceptual Answer #49

If \(\begin{bmatrix}0 & a & 3\\2 & b & -1\\c & 1 & 0\end{bmatrix}\) is skew-symmetric, find a,b,c.

✅ Step-by-Step Solution

Final Answer: a=−2,b=0,c=−3
  1. Skew-symmetry forces a=−2, c=−3 and the diagonal relation b=−b, hence b=0.
  2. a=−2,b=0,c=−3

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Skew-symmetry forces a=−2, c=−3 and the diagonal relation b=−b, hence b=0.
  • [0.5 marks] a=−2,b=0,c=−3

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