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The value of 'lambda' so that the syste...

The value of `'lambda'` so that the system of equations `x+2y+3=0` `3x+4y+4=0` `7x-10 y+lambda=0` is consistent, is

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Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 , 2x-y+3z=0 , 7x+lambday-z=0 has non-trivial solutions. Find the solution.

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