a matrix and a vector are given. Show that the vector is an eigenvector of the matrix and determine the corresponding eigenvalue. 7. 4 6 9 7 8 8 -S -11 -11 ( In Exercises 13-24, a matrix and a scalar a are given. Show that i is an eigenvalue of the matrix and determine a basis for its eigenspace. 17. -2-5 4 7 -3 -3 2 -2.1 = 3 5 In Exercises 33-40, a linear operator and a scalar , are given. Show that i is an eigenvalue of the operator and determine a basis for its eigenspace. 4x1 + 6x2 34. T 2. = -5 -12xı - 13x2 = +(:]) = []