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NCERT Class 12 · Ch 3 Exercise 3.2 · Q11

NCERT Class 12 Maths · Chapter 3 Matrices · Exercise 3.2 Question 11

Solve x\(\left[\begin{matrix}2\\3\end{matrix}\right]\) +y\(\left[\begin{matrix}-1\\1\end{matrix}\right]\) = \(\left[\begin{matrix}10\\5\end{matrix}\right]\).

💡 Concept Hints

  1. Check the matrix orders and the meaning of the requested operation before calculating.
  2. Keep row and column indices in order. Compare corresponding entries only after the matrix expressions have compatible dimensions.

✅ Step-by-Step Solution

Final Answer: x=3,y=−4.
  1. The entries give 2x−y=10 and 3x+y=5.
  2. Add to obtain 5x=15, so x=3. Substitute to get y=−4.

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