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E^A matrix power series (eigen values, diagonalizable)

  1. May 11, 2015 #1
    1. The problem statement, all variables and given/known data
    Find an expression for e^A with the powerseries shown in the image linked

    2. Relevant equations
    I know you have to use eigen values and eigen vectors and a diagonal matrix

    3. The attempt at a solution
    What I did was just try to actually multiply out the infinite series given. I took it out to about 3 terms and said on my quiz that the rest will eventually go to zero so that this series will converge. However I got zero credit for this solution.

    I know how to get eigen values, but I just need help finding out how to get Q.

    Thanks.
     

    Attached Files:

  2. jcsd
  3. May 11, 2015 #2

    micromass

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    Can you find the eigenvectors? Those will typically be the columns of ##Q##.
     
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