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18.06SC Unit 3 Exercise 2 Complex matrices; fast Fourier transform solved

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Exercises on complex matrices; fast Fourier transform
Problem 26.1: Compute the matrix F2.
Problem 26.2: Find the matrices D and P used in the factorization:
� � � �
F4 = I
I D F2
F2
P −D
Hint: D is created using fourth roots, not square roots, of 1. Check your
answer by multiplying.
1

18.06SC Linear Algebra