1. Oct 12, 2014

### jwqwerty

1. The problem statement, all variables and given/known data

1. If v is any nonzero vector in R^2, what is the dimension of the space V of all 2x2 matrices for which v is an eigenvector?

2. If v is an eigenvector of matrix A with associated eigenvalue 3, show that v is in the image of matrix A

2. Relevant equations

If v is an eigenvector with eigenvalue c(real number), then Av=cv (definition of eigenvector)

3. The attempt at a solution

i have posted a picture for my attempt at the first question
but i totally have no idea on the second question
need help from you guys!

Last edited: Oct 12, 2014
2. Oct 12, 2014

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