BITSAT2016MathematicsDeterminantsActual

If the matrix [ array ccc 1 & 3 & +2 2 & 4 & 8 3 & 5 & 10 array ] is singular, then =

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Correct answer

B. 4

Step-by-step solution

| A |=0 as the matrix A is singular | A |= | array ccc 1 & 3 & +2 2 & 4 & 8 3 & 5 & 10 array |=0 Apply R ₂ R ₂-2 R ₁ and R ₃ R ₃-3 R ₁ and expand. -2(4-3 )+4(4-2 )=0 8-2 =0 =4 For =4, the second and the third column are proportional.

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