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Class 12 Matrices · Conceptual Answer1 Marksmatrix_linear_combinations

Class 12 Maths · Matrices · Conceptual Answer #34

If \(\begin{bmatrix}9 & -1 & 4\\-2 & 1 & 3\end{bmatrix}\)=A+\(\begin{bmatrix}1 & 2 & -1\\0 & 4 & 9\end{bmatrix}\), find A.

✅ Step-by-Step Solution

Final Answer: \(\begin{bmatrix}8 & -3 & 5\\-2 & -3 & -6\end{bmatrix}\)
  1. Subtract the known 2×3 matrix entry by entry: [[9−1,−1−2,4−(−1)],[−2−0,1−4,3−9]].
  2. \(\begin{bmatrix}8 & -3 & 5\\-2 & -3 & -6\end{bmatrix}\)

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Subtract the known 2×3 matrix entry by entry: [[9−1,−1−2,4−(−1)],[−2−0,1−4,3−9]].
  • [0.5 marks] \(\begin{bmatrix}8 & -3 & 5\\-2 & -3 & -6\end{bmatrix}\)

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