Question

How to find matrix given eigenvalue and eigenvector?

Answer 1

Firstly you will have to find Eigen matrix to do so you have to subtract lambda from the diagonal this is called Eigen matrix and to find Eigen values find the determinant of that matrix and solve it for lambda.
After you get the value of lambda substitute this value in place of lambda one at a time and use Cramer's rule to find the Eigen vector !