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how would you solve an homogeneous system of the form [itex]A\mathbf{x}=0[/itex], with the constrain [itex]<\mathbf{x},\mathbf{x}>=1[/itex]. The matrix A is symmetric, but I don't know if it matters.

There should be a method involving eigenvalues, but strangely enough, I can't find it in any book.

Thanks!

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# Question on homogeneous systems

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