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Class 12 Determinants · Conceptual Answer1 Marksdeterminant_properties

Class 12 Maths · Determinants · Conceptual Answer #84

For A=\(\begin{bmatrix}0 & -1\\0 & 2\end{bmatrix}\) and B=\(\begin{bmatrix}3 & 5\\0 & 0\end{bmatrix}\), find det(AB).

✅ Step-by-Step Solution

Final Answer: 0
  1. A has a zero first column, so det(A)=0; multiplicativity gives det(AB)=det(A)det(B)=0.
  2. 0

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] A has a zero first column, so det(A)=0; multiplicativity gives det(AB)=det(A)det(B)=0.
  • [0.5 marks] 0

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