imo class 12 matrices

If A is a square matrix of order 3 with |A| = 5, then the value of |3A| is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A is a square matrix of order 3 with |A| = 5, then the value of |3A| is:

  • A. 135
  • B. 45
  • C. 15
  • D. 27

Answer: A) 135

Explanation: For a square matrix of order n, |kA| = kⁿ|A|. Here n = 3, k = 3, so |3A| = 3³ × 5 = 27 × 5 = 135.

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