Diagonalization and SDS−1=PDP−1=PCP−1=TDT−1=TCT−1 with calculator or Wolfra|Alpha

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Diagonalization and SDS−1=PDP−1=PCP−1=TDT−1=TCT−1 (all the same notation where D is a diagonal matrix and C is not, T, P, and S are the matrices of eigenvectors) are the general approach for solving systems of differential equations. The diagonalization is particularly useful for series expansion of matrices

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