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The value of the determinant ∆ = 13 + 3 2 5 5 15 + 26 5 10 3 + 65 15 5 is equal to

Options

  1. A15 2 - 25 3
  2. B25 3 - 15 2
  3. C3 5
  4. D- 15 2 + 7 3

Correct answer

A. 15 2 - 25 3

Step-by-step solution

Taking 5 common from C 2 and C 3 , we get ∆ = 5 2 13 + 3 2 1 15 + 26 5 2 3 + 65 3 5 Applying C 1 → C 1 - 13 C 3 - 3 C 2 , we get ∆ = 5 - 3 2 1 0 5 2 0 3 5 = 5 - 3 5 - 6 = 5 18 - 25 3 = 15 2 - 25 3

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