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Show that the set of solutions of a non-homogeneous m x n linear system is never a subspace of F^n.


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Consider a system of non-homogeneous mxn linear system,
a2x, + azz x 2 + ... + a2n xin = b2
amix, + amz x2 + . + amn xin = bm
Since it is non homogeneous system it means
so ... NO
O ...
, b, # 0...

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