Find a basis for the kernel and determine the nullity of the given linear transformation. Then determine if the linear transformation is one-to-one. 12. T : R3[x] → R2[x] given by T(a + bx + cx2 + dx3) = (a + 2b + c) + (2a + 5b +c + d)x + (2a + 6b + d)x2.

Q: 2a + 56+ c -a – 36 – 2c) 3a + 7b +c -4a – 96 - c, 2. T(а + bx + сх*).

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: I have given the answer in the next step. Hope you understand that

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