Consider the linear transformation T : M22 → P2 given by — (а +b+ 3с + d) + (а+b+3с+d)x + (a +b+ Зс + d)a? Then, the dimension of the kernel of T' is and the dimension of the range of T'is

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A: The solution is given by using rank nullity theorem and null space as follows :

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A: Fractional linear transformation

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A: True.

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A: We have to find all these

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A: Given :T1000=1-102T0100=0211T0010=1201T0001=3-110

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