[理工] [線代]-一題簡單的對角化
Let V be the vector space of all nxn matrices over R.
For a given matrix A屬於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屬於V ,A is a diagonal matrix} of linear transformation
Prove that Γ is simultaneously diagonalizable
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12/11 19:07, , 1F
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