PROBLEM 2 (7 pts.) Let V be a linear space of dimension three and B = {e1, e2, e3} a basis in V. Consider the linear function f : V -> V, such that f(e1) = es, f(e2) = e and f(e3) = 62. Find all pairs (o, T) with aE R and & E V such that f (@) = or. How do you call a and a respectively, with respect to the linear function f(.). Hint: write any vector & from V as a linear combination of the basis B. Next, use the properties of f(.) to express the relationship f() = ox, employing the linearity of f(.). Finally, use the fact that the coordinates of the vector f(x) in a given basis are unique