33.14 Coefficients for Row Space Bases

Coefficients( B, v )

returns the coefficients vector of the vector v with respect to the basis B (see Row Space Bases) of the vector space V, if v is an element of V. Otherwise false is returned.

    gap> v:= GF(3)^2; v.name:= "v";;
    RowSpace( GF(3), [ [ Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3)^0 ] ] )
    gap> b:= Basis( v );
    Basis( v, [ [ Z(3)^0, 0*Z(3) ], [ 0*Z(3), Z(3)^0 ] ] )
    gap> Coefficients( b, [ Z(3), Z(3) ] );
    [ Z(3), Z(3) ]
    gap> Coefficients( b, [ Z(3), Z(3)^2 ] );
    [ Z(3), Z(3)^0 ] 

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