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Consider the system of equations:
x + y + z = 0
αx + βy + γz =0
α2x + β2y + γ2z =0
Then the system of equations has
  • a)
    A unique solution for all values α, β, γ
  • b)
    Infinite number of solutions if any two of α, β, γ are equal
  • c)
    A unique solution if α, β, γ are distinct
  • d)
    More than one, but finite number of solutions depending on values of α, β, γ
Correct answer is option 'B,C'. Can you explain this answer?
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Consider the system of equations:x + y + z = 0αx + βy + &ga...
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Consider the system of equations:x + y + z = 0αx + βy + &ga...
To solve the system of equations, we need more information. The given equation only represents one equation with three variables, which is not enough to find a unique solution. We need at least two more equations to solve the system.
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Consider the system of equations:x + y + z = 0αx + βy + γz =0α2x + β2y + γ2z =0Then the system of equations hasa)A unique solution for all values α, β, γb)Infinite number of solutions if any two of α, β, γ are equalc)A unique solution if α, β, γ are distinctd)More than one, but finite number of solutions depending on values of α, β, γCorrect answer is option 'B,C'. Can you explain this answer?
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