MATH-205 Midterm: Bates MATH 205 032009ross205exam
Document Summary
You may assume all columns sum to one. Find the complete set {pa, pb, pc , pd} of equilibrium prices for this economy. Rank all four equilibrium prices from least to greatest. ; then the reduced row echelon form of a is r = Find a basis for each of the following: col(a, col(r, nul(a, nul(r, what is the rank of a, explain why col(a) cannot be the same as col(r) here. ; it"s true that rref(b) is s = 3: find the characteristic polynomial of a; show all your steps, list the eigenvalues of a and their multiplicities, find a basis for each eigenspace, here, a diagonalizable. Show this by giving p , d and p 1. ; then b has the same eigenvalues and multiplicities as a (you do not need to check this). Verify this by exhibiting a basis for the right eigenvalue.
