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NCERT Class 12 · Ch 3 Exercise 3.2 · Q22

NCERT Class 12 Maths · Chapter 3 Matrices · Exercise 3.2 Question 22

For X of order 2×n and Z of order 2×p with n=p, what is the order of 7X−5Z?

💡 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: B: 2×n.
  1. Scalar multiplication does not change matrix order.
  2. Since n=p, X and Z have equal order 2×n, and their difference has that same order. Select B.

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