Question: linear algebra 1. (8 marks) Consider the complex number z = cos(7) + i sin(7) where trig arguments are in degrees. (a) (3 mark) Calculate

linear algebra

1. (8 marks) Consider the complex number z = cos(7) + i sin(7) where trig arguments are in degrees. (a) (3 mark) Calculate z30. Write your answer in its simplest form. [Evaluate the trig functions.] (b) (2 mark) What is the product of 230 and its conjugate? (c) (3 marks) Find the smallest positive integer solution n of the equation z" = i. You must produce an argument that this is the smallest

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