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Jul 21st, 2019
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  1. 1. -0.33 + 1.5244*i
  2. 2. -0.33 - 1.5244*i
  3.  
  4. We get this result from looking at the exponential values, and also the trig parts. This is pretty self explanatory since we just used f[eigenvalues] for f[A] in the diagonal matrix component. The only difference here is that we have cosines and sines, which we know from linearly algebra, show up with complex eigenvalues. I learned this in calculus classes and differential equations classes before, but the way to read the values off is to get the real components from the exponential values as usual, and the imaginary parts come from the trig components. Alternatively, given access to mathematica, we could also just do the Eigenvalue command to make life easier!
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