1.請問dim(V)=rank(T)+Nullity(T) 是指什麼?怎麼證明?2.A=2*2矩陣 0 1 0 0 rank(A)=1是為什麼?怎麼計算的?
3.請問以下是非題敘述要如何解釋(說明)
(g) Linear operaters on infinite dimentional vector spaces never have eigenvalues.(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. (j) Similar matrixes always have the same eigenvectors.4.為何微分是線性函數?5.O中間加一直線(數學符號)是什麼意思?怎麼運用? (A->La(x)兩個中間的數學符號)感謝