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Linear Operator

Linear Operators. A linear operator T is an operator such that the domain D(T) of T is a vector space and the range R(T) lies in a vector space over the same field,for all x, y ? D(T) and scalars a,T(x y) = Tx TyT(ax)=aTxT: D(T) ? R(T)T(ax

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Linear Operator

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    1. Linear Operator Sung Pil Choi

    2. Linear Operators A linear operator T is an operator such that the domain D(T) of T is a vector space and the range R(T) lies in a vector space over the same field, for all x, y ? D(T) and scalars a, T(x+y) = Tx + Ty T(ax)=aTx T: D(T) ? R(T) T(ax+y)=aTx+Ty Null space of T is the set of all x ? D(T) such that Tx=0

    3. Linear Operators

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