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Class 12 Determinants · Conceptual Answer1 Marksminors_and_cofactors

Class 12 Maths · Determinants · Conceptual Answer #78

For \(\begin{vmatrix}2 & -3 & 5\\6 & 0 & 4\\1 & 5 & -7\end{vmatrix}\), let Aᵢⱼ be a cofactor. Find a₃₂A₃₂.

✅ Step-by-Step Solution

Final Answer: 110
  1. The entry a₃₂=5. Its cofactor is (−1)⁵det([[2,5],[6,4]])=−(8−30)=22, so the product is 5·22=110.
  2. 110

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The entry a₃₂=5. Its cofactor is (−1)⁵det([[2,5],[6,4]])=−(8−30)=22, so the product is 5·22=110.
  • [0.5 marks] 110

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