numbers 53 and 55 from section 9.3

9.3.2 In Problems 49-56, find the eigenvalues , and by and corre- sponding eigenvectors v1 and v2 for each matrix A. Determine the equations of the lines through the origin in the direction of the eigenvectors v1 and v2, and graph the lines together with the eigenvectors v, and v2 and the vectors Av, and Avz. 49. A= 6 -31 50. A = W O 51. A = 0 52. A = WO NO -1 N 53. A = 54. A = 4 4 55. A= 56. A= -6