阿摩線上測驗
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阿摩線上測驗
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Problem 6 :
Let A and B be elements in 
(C). Suppose that
AB - BA = c⋅(A - B)
for some non-zero c ∈ C. Prove that there exists an invertible matrix P ∈ 
(C) such that 
AP and 
BP are upper-triangular matrices with the same diagonal entries.