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Class 12 Matrices · Conceptual Answer1 Markstranspose_operations

Class 12 Maths · Matrices · Conceptual Answer #40

Given Aᵀ=\(\begin{bmatrix}3 & 4\\-1 & 2\\0 & 1\end{bmatrix}\) and B=\(\begin{bmatrix}-1 & 2 & 1\\1 & 2 & 3\end{bmatrix}\), find Aᵀ−Bᵀ.

✅ Step-by-Step Solution

Final Answer: \(\begin{bmatrix}4 & 3\\-3 & 0\\-1 & -2\end{bmatrix}\)
  1. Transpose B to [[−1,1],[2,2],[1,3]] and subtract its entries from the given Aᵀ.
  2. \(\begin{bmatrix}4 & 3\\-3 & 0\\-1 & -2\end{bmatrix}\)

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Transpose B to [[−1,1],[2,2],[1,3]] and subtract its entries from the given Aᵀ.
  • [0.5 marks] \(\begin{bmatrix}4 & 3\\-3 & 0\\-1 & -2\end{bmatrix}\)

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