Exercises on complex matrices; fast Fourier transform problem set 3.2 solution

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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
MIT OpenCourseWare
https://ocw.mit.edu
18.06SC Linear Algebra
Spring 2011
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