Find a basis of the eigenspace associated with the eigenvalue -3 of the matrix A -1 1 0 -3 0 57 9 2 6 -2 -6

Find the eigenvalues and bases for the eigenspace of the matrix [4 -3 01 4 2]

The matrix * 8 0. A = 0. -2 -2 -6 has one real eigenvalue. Find this eigenvalue and a basis of the eigenspace. The eigenvalue is A basis for the eigenspace is

Find the eigenvalues of the matrix -3 3 -3 -6 6 -3 -9 9 For each eigenvalue, find an eigenvector or some eigenvectors that form a basis for the corre- sponding eigenspace.