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Class 12 Matrices · Conceptual Answer1 Marksmatrix_construction

Class 12 Maths · Matrices · Conceptual Answer #44

Construct A=[aᵢⱼ]₂ₓ₂ with aᵢⱼ=|i²−j|.

✅ Step-by-Step Solution

Final Answer: \(\begin{bmatrix}0 & 1\\3 & 2\end{bmatrix}\)
  1. The four entries are a₁₁=|1−1|=0, a₁₂=|1−2|=1, a₂₁=|4−1|=3, a₂₂=|4−2|=2.
  2. \(\begin{bmatrix}0 & 1\\3 & 2\end{bmatrix}\)

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The four entries are a₁₁=|1−1|=0, a₁₂=|1−2|=1, a₂₁=|4−1|=3, a₂₂=|4−2|=2.
  • [0.5 marks] \(\begin{bmatrix}0 & 1\\3 & 2\end{bmatrix}\)

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