Determine whether the linear transformation T is one-to-one and onto. 8-C [+] a-bb-c a + b b + c T: R³ - M₂2 defined by T(p(x)) = (a) one-to-one O one-to-one O not one-to-one (b) onto Ⓒonto Onot onto

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

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A: Step 1:Step 2: Step 3: Step 4: