How will you calculate eigenvalues and eigenvectors of the following 3x3 matrix?

Data Science, AI and ML
#1

How will you calculate eigenvalues and eigenvectors of the following 3x3 matrix?

#2

ref: https://www.khanacademy.org/math/linear-algebra/alternate-bases/eigen-everything/v/linear-algebra-eigenvalues-of-a-3x3-matrix