Prove that there does not exist a linear map from ...

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    here the transformation is from F5 to F2 .
    so dim of range of T = dim of F2 = 2.
    also dim of F5 = 5.
    also out of x1,x2,x3,x4,x5  only two are independent. so the dim of null space of T can bemaximum 2.
        so here dim of F5 dim of range of T + dim of null space ofT.
                     
    so T can not be a linear map from F5 to F2 .

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