I have the eigenvalues and eigenvectors of a transformation 3*3 matrix and on of the eigenvalues is zero

I need to get the Euler axis and principal rotation angel, phi, may anyone help me in finding them

and also what would be the corresponding Euler angles and elementary rotation matrices? what is meant by this question

thanks so much

eigen vectors
-.9899 .995 -.1865
.1185 -.0945 .9825
.0773 0 0