For which of the following linear transformations is nullity(T)=4? a. None of the given options b. T: R → R8 and rank(T)=2 c. T: M23 → M33 and rank(T) = 6 d. T: P3 P3 and rank(T)=3 O e. T: R→ R² and rank(T)= 1

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A: Given, L : P1 → P1 be a linear transformation defined byL(t − 1) = t + 2 and L(t + 1) = 2t + 1

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Q: Given that the linear transformation T :P7 → R4 has nullity 3. Then the rank of T is equal to : None…

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