Find the eigenvector of _ S associated with eigenvalue 1 = -5. Find the eigenvector of associated with eigenvalue ) = -7. Determine if -2 is an eigenvector of 0 3 4, without solving for eigenvalues or eigenvectors. Completely and clearly explain your reasoning. Find an equation of the plane that passes through point (-7, 4, 11) and is perpendicular to the parametric line T'(t) = (3t - 1, 15 - t, 2). For what value(s) of k, if any, does the matrix k 2 have eigenvalues di = 1 and A2 = 4? Solve for k such that the angle between vectors a = k and v = -1|is 45. Solve the linear system *1 + 3x2 = 12x1 + 5x2 = 3 By first writing it as A X = b, then finding A-1 and solving * = A-1b. Find the inverse of WN - N