I have 8 vectors that I display as bmatrix in an align environment as follows:

But as you can see, the first vector is slightly thinner, making the rest unaligned aswell. How can I make the first vector as wide as the others? If someone knows how to make the heights the same aswell, that'd be even more awesome!
Here is a MWE:
\documentclass[preview, border = 2pt]{standalone} \usepackage{amsmath} \begin{document} \begin{align*} b_1 &= \begin{bmatrix} 0 \\ 0 \end{bmatrix}, \quad b_2 = \begin{bmatrix} \frac{1}{3} \\ 0 \end{bmatrix}, \quad b_3 = \begin{bmatrix} 0 \\ \frac{1}{3} \end{bmatrix}, \quad b_4 = \begin{bmatrix} \frac{1}{3} \\[.1cm] \frac{2}{3} \end{bmatrix} \\ b_5 &= \begin{bmatrix} \frac{2}{3} \\[.1cm] \frac{2}{3} \end{bmatrix}, \quad b_6 = \begin{bmatrix} \frac{2}{3} \\ 0 \end{bmatrix}, \quad b_7 = \begin{bmatrix} 0 \\ \frac{2}{3} \end{bmatrix}, \quad b_8 = \begin{bmatrix} \frac{2}{3} \\[.1cm] \frac{1}{3} \end{bmatrix} \end{align*} \end{document} EDIT: The following solution, as also provided by Ignasi, didn't fit my needs because I also had one-row cases that didn't need an align environment and it would look strange between equations.
\documentclass[preview, border = 2pt]{standalone} \usepackage{amsmath} \begin{document} \begin{align*} b_1 &= \begin{bmatrix} 0 \\ 0 \end{bmatrix}, & b_2 &= \begin{bmatrix} \frac{1}{3} \\ 0 \end{bmatrix}, & b_3 &= \begin{bmatrix} 0 \\ \frac{1}{3} \end{bmatrix}, & b_4 &= \begin{bmatrix} \frac{1}{3} \\ \frac{2}{3} \end{bmatrix} \\ b_5 &= \begin{bmatrix} \frac{2}{3} \\ \frac{2}{3} \end{bmatrix}, & b_6 &= \begin{bmatrix} \frac{2}{3} \\ 0 \end{bmatrix}, & b_7 &= \begin{bmatrix} 0 \\ \frac{2}{3} \end{bmatrix}, & b_8 &= \begin{bmatrix} \frac{2}{3} \\ \frac{1}{3} \end{bmatrix} \end{align*} \end{document} 

0/1in the first vector ;)