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Question 5 (20 marks) a. Let T be a linear transformation from P2 to P1 dened by the formula Two + (11:1: + (12:52} =

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Question 5 (20 marks) a. Let T be a linear transformation from P2 to P1 dened by the formula Two + (11:1: + (12:52} = xa2 + 111. i. Find the matrix of T with respect to the bases: Bl : {1 x, '37? + 312+ 1, 1:2 + I 6} of P2 and BE: {1+1}; 1+2:r} of P1. (12 marks) ii. Evaluate T(21'2 :1: + 2) using the matrix of transformation T. (2 marks)

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