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## Homework Statement

I'm told to find the matrix Q of the matrix A

## Homework Equations

## The Attempt at a Solution

So my problem is that in the answer key they have S = (1/3)... and I have no idea where this 1/3 comes from. I get an equivalent answer for X_1, X_2, and X_3

S = [X_1, X_2, X_3] but when I form this matrix with the values for X_1, X_2, X_3 I'm not able to factor out a 1/3. Does anyone know where this value comes from?

This is the solutions

and this is my attempt, again I would get the same answer but have no idea were the 1/3 came from.

thanks for any help