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Find lambda for which the system of e...

Find `lambda` for which the system of equations `x+y-2z=0,2x-3y+z=0,x-5y+4z=lambda` is consistent and find the solutions for all such values of `lambdadot`

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Knowledge Check

  • If the system of equations lambdax +2y+3z=x lambda y-2z=y y+lambda z=4z have a non zero solution, then sum of all possible values of lambda is

    A
    2
    B
    `-5`
    C
    6
    D
    8

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