Question: please answer :) 2. (10 points) Consider the linear transformation T : 'Pl > R2 dened by T(a.133 + a0) = [gsa0 I. Let 8:

please answer :)

2. (10 points) Consider the linear transformation T : 'Pl > R2 dened by T(a.133 + a0) = [gsa0 I. Let 8: {1,32} beabasis for'P1 and let 3': {[ 3 J , [ (1) I} beabasis 1 of R2. 1. What is standard matrix of T with respect to the bases 3 and 13'? 2. Is T onetoone? 3. What is the null space of T? 4. Is T onto? 5. What is the range of T? 6. Is T invertible? 7. Find a polynomial p so that T(p) = [ i J

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