- #1
squaremeplz
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Homework Statement
Compute <z,w> for z = [ (1+i)/2 , (1-i)/2 ], w = [ i/sqrt(2) , -1/sqrt(2) ]
2. Equations
<z , w> = z1 * w1 + 2 * z2 * w2
where w1 and w2 have the conjugate sign over them.
The Attempt at a Solution
<z, w> = (1+i)/2 * (-i/sqrt(2)) + 2 * ((1-i)/2) (-1/sqrt(2))
= -sqrt(2)/4 + sqrt(2)/4 * i
Is the formula I used correct for this? Thanks!