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Let A ,   B and C are n × n matrices such that A = 2 ,   B = 3 and C = 5 . If 2 A 2 3 B 5 C - 1 = 1728 125 , then the value of n is equal to

Options

  1. A2
  2. B3
  3. C4
  4. D6

Correct answer

A. 2

Step-by-step solution

2 A 2 3 B 5 C - 1 = 2 A 2 3 B 5 C = 2 2 n 3 n 5 n A 2 B C ⇒ 12 5 n + 1 = 12 5 3 ⇒ n = 2

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