補上3. 的理由:
Linear operaters on infinite dimentional vector spaces never have eigenvalues.----錯
反例: 例如D為微分算子, vector space ={所有可微分函數},
所以, 任何實數都是 eigen value
(h)An n*n matrix A with entries from a field F is similar to a diagonal matrix if and only if there is a basis for F^n consisting of eigenvectors of A.------正確
(j) Similar matrixes always have the same eigenvectors.----錯
如果 , 而
則
所以, 若v是A的eigen vector, 則 Pv 是B的eigen vector; A的eigen vector 和B的不一樣