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NDA2021MathematicsDeterminantsActual

The element in the i^ th row and the j^ th column of a determinant of third order is equal to 2(i+j) . What is the value of the determinant?

Options

  1. A0
  2. B2
  3. C4
  4. D6

Correct answer

A. 0

Step-by-step solution

Determinant = | array ccc 4 & 6 & 8 6 & 8 & 10 8 & 10 & 12 array |=2 | array lll 2 & 3 & 4 3 & 4 & 5 4 & 5 & 6 array |=2[2(24-25)+3(20-18)+4(15-16)]=0 .

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