- #1
jmomo
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Homework Statement
Let F be the 4x4 matrix whose (i, j)th entry is 5ij in F_13 for i, j = 0,1,2, 3.
Compute F(hat) and verify that F(hat)F = I
Homework Equations
The matrix F(hat) is called the inverse discrete Fourier transform of F.
The Attempt at a Solution
I found that e = 4, so (F)F(hat) = 4 I, so F(1/4 F(hat)) = I
I calculated that matrix F=
1 1 1 1
1 5 12 8
1 12 8 1
1 8 1 5
My Question: How do I calculate matrix F(hat)? I understand it is the inverse of F, but I am unsure of how to calculate it.