Question: 1 0 [ o i] 1 0 = , A2 [ -41 ] and a3 = 2. Let R F[X] and define three different R-module

1 0 [ o i] 1 0 = , A2 [

1 0 [ o i] 1 0 = , A2 [ -41 ] and a3 = 2. Let R F[X] and define three different R-module structures on F2 (call them V1, V2 and V3), with X acting by 1 = [ 3 ] repectively. Which of these modules are semisimple and how do they decompose for (a) F=C ? (b) F=R? (c) F = F5

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