Mathematics > QUESTION PAPER & MARK SCHEME > Pearson Edexcel Level 3 GCE. Further Mathematics Advanced PAPER 2: Core Pure Mathematics 2 (All)
1. Given that 1 2 3 cos isin 3 3 2 cos isin 12 12 π π z π π z = + = − ... (a) write down the exact value of (i) | z1z2 | (ii) arg(z1z2) (2) Given that w = z 1z2 and that arg(wn) = 0, where n + (b) determine (i) the smallest positive value of n (ii) the corresponding value of | wn | (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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_____________________________________________________________________________________ _____________________________________________________________________________________*P66797A0332* Turn over 3 Question 1 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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_____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 1 is 5 marks)4 *P66797A0432* 2. A = 4 2 5 3 − The matrix A represents the linear transformation M. Prove that, for the linear transformation M, there are no invariant line [Show More]
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