T(1+2x)=1+x-x^2 T(1-x^2)=2-x T(1-2x+x^2)=3x-2x^2 a)compute T(-6x+3x^2) b) find basis for N(T), null space of T c) compute...

T(1+2x)=1+x-x^2

T(1-x^2)=2-x

T(1-2x+x^2)=3x-2x^2

a)compute T(-6x+3x^2)

b) find basis for N(T), null space of T

c) compute rank of T and find basis of R(T)

Expert Solution

Colby Messinger answered 2 years ago

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Question

T(1+2x)=1+x-x^2 T(1-x^2)=2-x T(1-2x+x^2)=3x-2x^2 a)compute T(-6x+3x^2) b) find basis for N(T), null space of T c) compute...

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