Question: Linear maps Consider the linear map f : R3 I> P2 given by ' f(a,b,c) = 9a + 3b 6c 6(2a -| b 20)a: +

Linear maps

Consider the linear map f : R3 I> P2 given by ' f(a,b,c) = 9a + 3b 6c 6(2a -| b 20)a: + 3(2c - a (3)132. (a) Represent ' f with respect to the standard bases of R3 and P2. (b) Represent f with respect to the following non-standard bases: {(0,2, 1), (1,0,1), (1,_1,0)} for R3; {2xl562, 1 +222, 1 -:v} for P2

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