1. The problem statement, all variables and given/known data I am continuing from : https://www.physicsforums.com/threa...list-of-possible-solutions-for-lambda.955164/ I have got a 3 * 3 matrix. I have to find itseigen values and eigen vectors. I have found the eigen values.For calculating eigen vectors they are using an augmented matrix and then creating an echelon matrix. Is there a simplified way to do it. R1= -3 -3 3 R2 = 3 -9 3 R3 = 6 -6 0 & Lambda 1= 4 I have to find the vector corresponding to this eigen value. Is there a simple technique? Some body please guide me. Zulfi. 2. Relevant equations Ax = λx However in the example, they have used the augmented matrix method 3. The attempt at a solution I am able to evaluate the eigen values. This is shown in the link which i have provided. Some body please guide me how to calculate eigen vectors. Zulfi.