Finding an orthonormal basis for the row space of $A$

Question

Find an orthonormal basis for the row space of $$ A = \begin{bmatrix} 2 & -1 & -3 \\ -5 & 5 & 3 \end{bmatrix} $$

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Let $v_1 = (2\ -1 \ -3)$ and $v_2 = (-5 \ \ \ 5 \ \ \ 3)$. Using Gram-Schmidt, I found an orthonormal basis $$e_1 = \frac{1}{\sqrt{14}} (2\ -1 \ -3), \qquad e_2 = \frac{1}{\sqrt{5}} (-1 \ \ \ 2 \ \ \ 0)$$ So, an orthonormal basis for the row space of $A =\{ e_1,e_2\}$. Is the solution correct?

Answer 1

Verify your Gram-Schmidt process again.

Note that we have $V_1=X_1$ and $V_2 = X_2-\frac {X_2.V_1}{V_1.V_1}V_1$

My calculations did not match with yours.