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A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx - 2y + 3z = 0 is given by x : y : z = ____________. -

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Question

A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx - 2y + 3z = 0 is given by x : y : z = ____________.

Options

  • 1 : 2 : -2

  • 1 : -2 : 2

  • 2 : 1 : 2

  • 2 : 1 : -2

MCQ
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Solution

A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx - 2y + 3z = 0 is given by x : y : z = 2 : 1 : -2.

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