Determine whether each of the following assertions is true or false. Justify your claim. A. The set {X, X +1, 1–X²} is linearly independent in R[X]. B. The set {(1, 2, 3), (4, 5, 6)} is a basis for R3. C. Every linear map T: R2 → R[X]deg<2 is injective. D. Every injective linear map T: R[X]deg<3 Mat2,2(R) is an isomorphism. 'no

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Q: 2. Determine if the set is a basis of R3 [t] . {t² + 2t -3, t² + 5t, 2t² — 4}

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A: According to question,T : ℂ→ℂ,Tz = z,where,z ∈ ℂ,T a+ i b = a - i b,where,a, b ∈ ℝ

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