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Class 12 Determinants · Conceptual Answer1 Marksdeterminant_properties

Class 12 Maths · Determinants · Conceptual Answer #40

For A=\(\begin{bmatrix}1 & 2\\3 & -1\end{bmatrix}\) and B=\(\begin{bmatrix}1 & -4\\3 & -2\end{bmatrix}\), find det(AB).

✅ Step-by-Step Solution

Final Answer: −70
  1. det(A)=−1−6=−7 and det(B)=−2+12=10; use det(AB)=det(A)det(B).
  2. −70

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] det(A)=−1−6=−7 and det(B)=−2+12=10; use det(AB)=det(A)det(B).
  • [0.5 marks] −70

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