Consider the following linear map T: P3 P3 defined as follows: Tag +212 + anz? + 2323) = 2, +41(2+2) + a2(x + 2)2 + 23(x
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Consider the following linear map T: P3 P3 defined as follows: Tag +212 + anz? + 2323) = 2, +41(2+2) + a2(x + 2)2 + 23(x
Consider the following linear map T: P3 P3 defined as follows: Tag +212 + anz? + 2323) = 2, +41(2+2) + a2(x + 2)2 + 23(x+2) = (ao +221 + 4a2 + 8a3) + (a1 + 4a2 + 120 yr + (az +603)x² + a3.2% 120374 a) Determine if it is an isomorphism. b) Determine if x + 2x2 is in the image of T.
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