使用 \left 和 \right 括号包裹方程式的行

Question

我无法格式化以下数学表达式：

\begin{align*}
       A  &= \left(\left(\frac{1}{2},\frac{1}{2}\right) + \sqrt{2}Rot_{-\pi/4}\left\langle 0, \frac{1}{2} \right\rangle, \sqrt{2}Rot_{\pi/4}\left\langle 0, \frac{1}{2} \right\rangle \sqrt{2}Rot_{3\pi/4}\left\langle 0, \frac{1}{2} \right\rangle\right)\\
          &=  \left(\left(\frac{1}{2},\frac{1}{2}\right)+ \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & \sin(\pi/4) \\
                             -\sin(\pi/4) & \cos(\pi/4) \end{pmatrix}, \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & -\sin(\pi/4) \\
                             \sin(\pi/4) & \cos(\pi/4) \end{pmatrix}, \sqrt{2}
                           \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}
                           \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}\right)\\
\end{align*}

它给出了以下结果：

我希望超出页面的部分继续在下一行并略微缩进。我尝试使用更多align符号来实现这一点，但失败了，因为每当我换行时，我都会留下一个不匹配的\left(。

我该如何格式化它，以便页面上运行的方程式部分继续到下一行并带有一点缩进？

谢谢大家的帮助！

Answer 1

改用multline*。

\documentclass{article}
\usepackage{amsmath}
\begin{document}
  \begin{multline*}
 \left(\left(\frac{1}{2},\frac{1}{2}\right)+ \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & \sin(\pi/4) \\
                             -\sin(\pi/4) & \cos(\pi/4) \end{pmatrix}, \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & -\sin(\pi/4) \\
                             \sin(\pi/4) & \cos(\pi/4) \end{pmatrix},\right.\\
                              \left. \qquad  \sqrt{2}                %% remove \qquad if you want
             \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}
                           \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}\right)\\
\end{multline*}
\end{document}

对于更新的查询和需求，使用mathtools（而不是amsmath）和它multlined环境。

\documentclass{article}
\usepackage{mathtools}
\begin{document}
  \begin{align*}
       A  &= \left(\left(\frac{1}{2},\frac{1}{2}\right) + \sqrt{2}Rot_{-\pi/4}\left\langle 0, \frac{1}{2} \right\rangle, \sqrt{2}Rot_{\pi/4}\left\langle 0, \frac{1}{2} \right\rangle \sqrt{2}Rot_{3\pi/4}\left\langle 0, \frac{1}{2} \right\rangle\right)\\
          &=\!\!
          \begin{multlined}[t]
 \left(\left(\frac{1}{2},\frac{1}{2}\right)+ \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & \sin(\pi/4) \\
                             -\sin(\pi/4) & \cos(\pi/4) \end{pmatrix}, \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & -\sin(\pi/4) \\
                             \sin(\pi/4) & \cos(\pi/4) \end{pmatrix},\right.\\[\jot]
                              \left. \qquad  \sqrt{2}                %% remove \qquad if you want
             \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}
                           \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}\right)\\
\end{multlined}
\end{align*}
\end{document}