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CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Q191 Marksdeterminant_properties

CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Question 19 (Determinants)

Assertion: A skew-symmetric 3×3 matrix has determinant zero. Reason: Every square matrix of order two has det(A)=det(Aᵀ).

✅ Step-by-Step Solution

Final Answer: Both true, but the reason does not explain the assertion.
  1. Both statements hold, but the reason states the rule only for order two. For order three use det(A)=det(Aᵀ)=det(−A)=−det(A).

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All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7

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