\RightarrowHomework Statement
I'm given two statements, p and (q\Rightarrowr) and I need to prove that the two statements are equivalent. So I need to show that p \Leftrightarrow(q\Rightarrowr)
I know that p\Rightarrow(q\Rightarrowr) \Leftrightarrow (p\wedgeq)\Rightarrowr
but I don't know...
Homework Statement
Let V be a vector space over the field F. and T \in L(V, V) be a linear map.
Show that the following are equivalent:
a) I am T \cap Ker T = {0}
b) If T^{2}(v) = 0 -> T(v) = 0, v\in V
Homework Equations
The Attempt at a Solution
Using p -> (q -> r) <->...