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If the matrix is singular, then λ equals

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  1. -2
  2. 2
  3. 4
  4. -4

Answer (Detailed Solution Below)

Option 3 : 4

Detailed Solution

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Concept:

If a Matrix is singular then its determinant is zero ()

Calculation:

Given:

Matrix is singular

1 (40 - 40) - 3(20 - 24) + (λ + 2)(10 - 12) = 0

-3(-4) + (λ + 2)(-2) = 0

12 - 2λ - 4 = 0

8 = 2λ 

∴ λ = 4.

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