1. Si considerino l'operatore lineare L: R 4 → R4 definito dalla matrice quadrata A ed il vettore v ∈ R A = 1
![linear algebra - $\dim V<\infty$. Show there exists $m$ so that $\ker T^m \cap T^m(V)=0$ - Mathematics Stack Exchange linear algebra - $\dim V<\infty$. Show there exists $m$ so that $\ker T^m \cap T^m(V)=0$ - Mathematics Stack Exchange](https://i.stack.imgur.com/iLN7D.jpg)
linear algebra - $\dim V<\infty$. Show there exists $m$ so that $\ker T^m \cap T^m(V)=0$ - Mathematics Stack Exchange
![SOLVED: For the following two linear transformations, find: Base of Ker (T) and dim Ker (T) Basis of Im (T) and dim Im iii. Is it injective? iv. Is it surjective? Verify SOLVED: For the following two linear transformations, find: Base of Ker (T) and dim Ker (T) Basis of Im (T) and dim Im iii. Is it injective? iv. Is it surjective? Verify](https://cdn.numerade.com/ask_images/b0721d0d390c44c1b28c8764bea4df2b.jpg)
SOLVED: For the following two linear transformations, find: Base of Ker (T) and dim Ker (T) Basis of Im (T) and dim Im iii. Is it injective? iv. Is it surjective? Verify
![SOLVED: Let A = < b m a t r i x > Find dimensions of the kernel and image of T(𝐱) = A𝐱: (Ker(A)) and (Im(A)). SOLVED: Let A = < b m a t r i x > Find dimensions of the kernel and image of T(𝐱) = A𝐱: (Ker(A)) and (Im(A)).](https://cdn.numerade.com/ask_images/c72f5c96257349bcb7640e1f94f1afc9.jpg)
SOLVED: Let A = < b m a t r i x > Find dimensions of the kernel and image of T(𝐱) = A𝐱: (Ker(A)) and (Im(A)).
![linear algebra - Proving that $\dim T^{-1}(E) = \dim(\operatorname{Ker}T) + \dim (\operatorname{Ker}T\cap\operatorname{Im}(T))$ - Mathematics Stack Exchange linear algebra - Proving that $\dim T^{-1}(E) = \dim(\operatorname{Ker}T) + \dim (\operatorname{Ker}T\cap\operatorname{Im}(T))$ - Mathematics Stack Exchange](https://i.stack.imgur.com/CFR42.png)
linear algebra - Proving that $\dim T^{-1}(E) = \dim(\operatorname{Ker}T) + \dim (\operatorname{Ker}T\cap\operatorname{Im}(T))$ - Mathematics Stack Exchange
![linear algebra - Finding dim(Ker(A)) according to a given characteristic polynomial - Mathematics Stack Exchange linear algebra - Finding dim(Ker(A)) according to a given characteristic polynomial - Mathematics Stack Exchange](https://i.stack.imgur.com/oX1Jw.png)