# Search results

1. ### Electric potential outside of a parallel-plate capacitor

My book says it is zero, but I don't know where to start , why is it zero ? I have to take an exam in few hours :cry: so a simple explanation would be appreciated ( I'm not studying pure physics:smile: Here are the electric fields of the three regions . Thanks in advance :smile:
2. ### Do protons move?

Homework Statement Hi , in the first chapters of my physics book states that positive charges don't move , but now this new chapter about curruent and resistance says that the direction of the current is the direction in which the positive charges flow or move . I'm confused :confused: Can...
3. ### Linear algebra.Kernel of a linear mapping

Let ##L## be a linear operator ::##L(A)= Tr(A)## where ##Tr(A)## is the trace of a square matrix Find a basis of the kernel of L. Any help would be really appreciated . thanks in advance
4. ### Linear algebra-Basis of a linear map

Homework Statement Let ##L: R^{2} → R^{2}## be a linear map such that ##L ≠ O## but## L^{2} = L \circ L = O.## Show that there exists a basis {##A##, ##B##} of ##R^{2}## such that: ##L(A) = B## and ##L(B) = O.## The Attempt at a Solution Here's the...
5. ### Linear algebra- Inverse of a linear mapping

Homework Statement Let L: V →V be a linear mapping such that L^2+2L+I=0, show that L is invertible (I is the identity mapping) I have no idea how to solve this problem or how to start,I mean this problem is different from the ones I solved before, the answer is "The inverse of L is -L-2 "...
6. ### Vector spaces problem -linear algebra

Homework Statement Hi guys , I have this problem ,well actually I don't understand the solution they provide , Here's the problem statement and the solution . May someone please explain the solution to me?? Thanks so much, Sorry for my bad english Homework Equations 1.I understand...