The 2 x 2 matrix has two distinct real eigenvalues. 1. Give the characteristic polynomial forAin Maple notation in the form t"2 + a*t + b Characteristic polynomial = O 2. Find the set of eigenvalues for A, enclosed in braces { , i with the two eigenvalues separated by a comma, like {-4, 7} Set of eigenvalues for A = 0 5 3. Find one eigenvector for each eigenvalue, using Maple for vectors, e.g. for the vector ( ) 6 an eigenvector for the smallest eigenvalue for A = an eigenvector for the largest eigenvale for A =