Find the basic eigenvectors of A corresponding to the eigenvalue 2. -1 0 8 4 1 0 -8 -4 2 = -1 4 A = -2 0 9 . 4 0 -16 -7 | Number of Vectors: 1

-4 -2) -2) - Let A = -4 5. 2 , Vュー and v2 = Verify that v and v2 are %3D -2 eigenvectors of A. Then orthogonally diagonalize A.

Find a basis for the eigenspace corresponding to the eigenvalue. 4 - 3 3 A = 6 , 1 = 3 - 2 -6 -3 A basis for the eigenspace corresponding to 1 = 3 is { }. (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)

Find the basic eigenvectors of A corresponding to the eigenvalue 1. -1 0 0 A=-12 -12 -1 12 1 12, 2 2 = -1 -4 03 Number of Vectors: 1 0 0