Let 
be a finite dimensional vector space over the complex numbers, and let 
be a linear operator on 
. Then 
can be expressed as a direct sum
of cyclic subspaces.
Jordan Decomposition Theorem
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References
Gohberg, I. and Goldberg, S. "A Simple Proof of the Jordan Decomposition Theorem for Matrices." Amer. Math. Monthly 103, 157-159, 1996.Referenced on Wolfram|Alpha
Jordan Decomposition TheoremCite this as:
Weisstein, Eric W. "Jordan Decomposition Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/JordanDecompositionTheorem.html