The matrix has eigenvalues -1 and -8. Find its eigenvectors. The eigenvalue -1 has associated eigenvector The eigenvalue -8 has associated eigenvector TT A = 641

The matrix has eigenvalues -2 and 1. Find its eigenvectors. The eigenvalue -2 has associated eigenvector The eigenvalue 1 has associated eigenvector A 16 -9 -17 30

has eigenvalues -3, 0, and 5. Find its eigenvectors. The eigenvalue -3 has associated eigenvector The eigenvalue 0 has associated eigenvector The eigenvalue 5 has associated eigenvector 8 A = -2 3 3 -14 3 -4 3 -9 *

Find the eigenvalues A₁ < A2 and associated unit eigenvectors 1, 2 of the symmetric matrix The smaller eigenvalue A₁ = 3 14 A = 14 -18 has associated unit eigenvector i == The larger eigenvalue №2 = has associated unit eigenvector 2 = Note: The eigenvectors above form an orthonormal eigenbasis for A.