Mathematics · Matrices and Determinants
Let [λ] denote the greatest integer less than or equal to λ. The system of linear equations: x + y + z = 43x + 2y + 5z = 39x + 4y + (28 + [λ])z = [λ] has a unique solution if λ belongs to which of the following sets?
- 1The set of all real numbers, R
- 2(-∞, -9) ∪ [-8, ∞]✓
- 3(-∞, -9) ∪ (-9, ∞)
- 4[-9, -8)
Correct answer
(-∞, -9) ∪ [-8, ∞]
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