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Class 12 Matrices · Short Answer2 Marksmatrix_equality

Class 12 Maths · Matrices · Short Answer #92

Solve for x: [x 1]\(\begin{bmatrix}1 & 0\\-2 & 0\end{bmatrix}\)=O, where O is the 1×2 zero row.

✅ Step-by-Step Solution

Final Answer: x=2
  1. The product has order 1×2 and equals [x·1+1·(−2),x·0+1·0]=[x−2,0].
  2. Equality to [0,0] requires x−2=0.
  3. Therefore x=2.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The product has order 1×2 and equals [x·1+1·(−2),x·0+1·0]=[x−2,0].
  • [1 mark] Equality to [0,0] requires x−2=0.
  • [0.5 marks] Therefore x=2.

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