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Q: Solving Numerical Matrix-Equation


i have a Problem of the Form

M . v == 0

where M is a complex, numerical, 8x8 Matrix and v is an Vector with
eight unkown elements.

M depends on one parameter x (real).

There is no exact solution vor this equation. I will plot


and watch for a local minimum. This way i can say: "x must be something like
... or ... or". Now I need to get the vector v in this point x. 

Any hints for a nice function to complete this task? 


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