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!