Let F= R or C, and A =(adsbygoogle = window.adsbygoogle || []).push({});

[1 2 3] is considered as linear operator in F^{3}

[0 1 2]

[0 0 1]

then the minimal polynomial of A = (x-1)^3, can we say that the primary decomposition thm doesn't give any decomposition, can we find an invertible P s.t P^-1*A*p is a block diagonal matrix?

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# Primary decomposition theorem

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