# C the eigenvector corresponding to eigenvalue 0073

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(c) The eigenvector corresponding to eigenvalue -.0073 has the highest pitch component and is most closely associated with pitch. Exercise 4.6 (a) If F = (0 7 0 -1), what is the matrix BF? (b) If F = (0 5 0 -.1), what is the matrix BF? (c) If F = (0 5 0 -.1), what is the matrix A + BF? Are its eigenvalues the same or different from those of A? (c) Find F = (F1 F2 F3 F4) that increases the damping of the yaw oscillation and so that the plane still responds decently to pilot commands. More specifically: we want the complex eigenvalues to have real part less that -0.2 and that there is a real eigenvalue within 0.02 of 0. (Hint: There is a solution with F1 = 0 and F3 = 0 and F4 = -.09 so you only need to fiddle with F2 to find an appropriate number.)
Kimberly Nguyen, PID: A10974841, 20D, Tristan Sandler, Prof. Andre Minor, Section: C03, 7pm