The 2 x 2 matrix A:(B 1) -14 -3 has two distinct real eigenvalues. 1. Give the characteristic polynomial for A in Maple notation in the form t42 + a*t + b Characteristic polynomial = o 2. Find the set of eigenvalues for A. Enter your response in Maple set notation, i.e., enclosed in braces { } with the two eigenvalues separated by a comma. A typical answer might look like {-4, 7}. The set of eigenvalues for A is o/ 5 3. Find one eigenvector for each eigenvalue, using Maple notation for vectors, e.g. for the vector ( ) An eigenvector for the smallest eigenvalue for A is @ An eigenvector for the largest eigenvalue for A is @