The rotation transofrmation is defined as some composition of rotatation along the $x,y,z$ axes.
Assuming $T$ is a rotation transformation in $\mathbb{R}^{3}, v=\left(\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}\right), T\left(v\right)=\left(1,0,0\right)$
I need to find the matrix of $T$ according to the standard base. I was trying to find a rotation through $y$ axis such as $S_{\phi}\left(v\right)\subseteq XY$ plane, where $S$ is rotation along $y$-axis. Not sure if they meant $T$ is rotation along $z$-axis. But I am not sure if that's how I handle this question.