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CGP EDU Academic Team
Published on: August 14, 2026
The set of all value of λ for which the system of linear equations :
2x 1 – 2x 2 + x 3 = λ x 1
2x 1 – 3x 2 + 2x 3 = λ x 2
– x 1 + 2x 2 = λ x 3
has a non-trivial solution,
Text Solution
Verified by ExpertsThe correct answer is:
C
Sol. 
= 0
⇒ ( λ – 2) (3 λ + λ 2 – 4) – 2(–2 λ + 2) – 1(4 – 3 – λ ) = 0
⇒ ( λ – 2) ( λ 2 + 3 λ – 4) + 4( λ – 1) + ( λ – 1) = 0
⇒ ( λ –1)( λ 2 + 2 λ – 8 + 5) = 0 ⇒ ( λ –1)( λ 2 + 2 λ – 3) = 0
Two elements ( λ – 1) 2 ( λ + 3) = 0
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