4) Let : R³ → R[t]<2 be the linear map that sends 4(e₁)=t+t² 4(e₂) = 1-t 4(e3) = t Write the matrix of the complexified map yc : C³ → C[t]2 with respect to the complexified standard basis of both vector spaces.

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Q: 2. Let B = {b₁, b2} be a basis for vector space V. Let T: V → V be a linear transformation with the…

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Q: Consider the operator(function) S on the vector space R1[x] given by: S(a + bx) = -a + b + (a +…

A: see my solutiuon

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A: here we can use simple conditions that if a linear function preserve scalar multiplication and…

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A: The null space of T is the collection of all polynomials p(x) in the domain of T such that T(p(x)) =…

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