Question

the Eigenvectors of a 3×3 real symmetric matrix A corresponding to Eigen values 2,3,6 ​

Answer 1

Explanation:

The first step into solving for eigenvalues, is adding in a along the main diagonal.

Now the next step to take the determinant.

Now lets FOIL, and solve for .

Now lets use the quadratic equation to solve for .

So our eigen values are