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The system of linear equations
x + λy - z = 0
λx - y - z = 0
x + y - λz = 0
​has a non-trivial solution for:
  • a)
    infinitely many values of λ
  • b)
    exactly one value of λ
  • c)
    exactly two values of λ
  • d)
    exactly three values of  λ
Correct answer is option 'D'. Can you explain this answer?
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The system of linear equationsx + λy - z = 0λx - y - z =...
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The system of linear equationsx + λy - z = 0λx - y - z =...
x + λy - z = 0
λx - y - z = 0
x + y - λz = 0
For non-trivial solution = > Δ = 0
 = 0

Exactly 3 values of λ. 
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The system of linear equationsx + λy - z = 0λx - y - z = 0x + y - λz = 0has a non-trivial solution for:a)infinitely many values of λb)exactly one value ofλc)exactly two values ofλd)exactly three values ofλCorrect answer is option 'D'. Can you explain this answer?
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