Please can you solve this for me

Question

Determine the eigenvalues of the matrix

A = |-5 3 3|

|-3 1 3|

|-6 6 4|

Answer 1

lambda =4,2,2

|-5-lambda 3 3|

|-3 1-lambad 3|

|-6 6 4-lambda|

determinant is -(lambda-4) (lambda+2) ^2=0

solve for lambda