- #1

tatianaiistb

- 47

- 0

## Homework Statement

If y=(1,0,0,0) and F

_{4}*c=y, find c.

## Homework Equations

c=F

_{4}

^{-1}*y

## The Attempt at a Solution

I'm stuck. I don't know how to get F

_{4}

^{-1}.

F

_{4}

^{-1}= (1/N) * [1, 1, 1, 1; 1 -i (-i)^2 (-i)^3; 1 (-i)^2 (-i)^4 (-i)^6; 1 (-i)^3 (-i)^6 (-i)^9] (this is a 4x4 matrix)

N = 4

So I'm confused because from that I get,

(1/4)* [1 1 1 1; 1 -i -1 i; 1 -1 1 -1; 1 i -1 -i]

(this is a 4x4 matrix)

I know that after I get this matrix, I just have to multiply by y to get c, but that inverse matrix has me confused.

Can anyone please help? Thanks!

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