How do I show that a homogeneous system of linear equations, where all of the coefficients of one of the unknowns is zero, has a non-zero solution?
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Originally Posted by nzmathman How do I show that a homogeneous system of linear equations, where all of the coefficients of one of the unknowns is zero, has a non-zero solution? Say among the variables the variable have all its cofficients to be zero. Then you can let be whatever you wish it to be i.e. let where .
Ah, that makes sense. Thanks!
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