作者GI9 ( )
看板Grad-ProbAsk
标题[理工] [线代]-一题简单的对角化
时间Fri Dec 11 19:06:51 2009
Let V be the vector space of all nxn matrices over R.
For a given matrix A属於V , define a linear transformation T_A:V→V by
T_A(B)=AB-BA
For general n , consider the family
Γ＝{T_A：A属於V ,A is a diagonal matrix} of linear transformation
Prove that Γ is simultaneously diagonalizable
这题配分5分....
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1F：→ GI9:T_A 那个A是指下标的意思 12/11 19:07