For each problem: a) Find the eigenvalues and eigenvectors of A "by hand", writing and solving the characteristic equation. (You do not need to type this part, just write it neatly, if you like). b) For each eigenvalue, write and solve (A - I) = 0 for an associated eigenvector v. (You do not need to type this part either, just write it neatly, if you like). c) Check that your eigen-pairs work using MatLab, Octave, or Python. Show the results Av - v in each case as output from your MatLab, Octave, or Python commands (also show your commands). -1 2. A = [71] 12