在 align 中使用 vmatrix 以及其他方程式

在 align 中使用 vmatrix 以及其他方程式

我想做的是使用克莱姆法则求解一个具有三个变量(设它们为 $d$、$e$ 和 $f$)的线性方程组。我已经完成了\usepackage{amsmath}。至少我可以编译这个:

\begin{align}
        \left|\mathbf{\Delta}\right|
        =&
        \begin{vmatrix}
                0 & 1 & 1\\
                2 & -4&0 \\
                1 &  0&-2
        \end{vmatrix}
        =0+0+0-(-4)-(-4)-0
        =8
\end{align}

但是我不能:

\begin{align}
        \left|\mathbf{\Delta}\right|
        =&
        \begin{vmatrix}
                0 & 1 & 1\\
                2 & -4&0 \\
                1 &  0&-2
        \end{vmatrix}
        =0+0+0-(-4)-(-4)-0
        =8
        \\

        d
        =&
                hello

第一个错误信息是这样的:

For additional information on amsmath, use the `?' option.
(/usr/local/texlive/2021/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/local/texlive/2021/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/local/texlive/2021/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/local/texlive/2021/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/local/texlive/2021/texmf-dist/tex/latex/chemgreek/chemgreek.sty
(/usr/local/texlive/2021/texmf-dist/tex/latex/l3packages/xparse/xparse.sty))
(/usr/local/texlive/2021/texmf-dist/tex/latex/graphics/graphics.sty
(/usr/local/texlive/2021/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/local/texlive/2021/texmf-dist/tex/latex/graphics-cfg/graphics.cfg)
(/usr/local/texlive/2021/texmf-dist/tex/latex/graphics-def/luatex.def)))
(./main.aux) (/usr/local/texlive/2021/texmf-dist/tex/latex/base/ts1cmr.fd)
(/usr/local/texlive/2021/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
[Loading MPS to PDF converter (version 2006.09.02).]
) (/usr/local/texlive/2021/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty
(/usr/local/texlive/2021/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg))
Runaway argument?
 =0+0+0-(-4)-(-4)-0 =8 \\
! Paragraph ended before \align was complete.
<to be read again>
\par
l.66

?

我正要遵循三个方程来表明 $d$、$e$ 和 $f$ 是什么。

答案1

感谢您评论并给我建议!它们很有效!

\begin{align}
        |\mathbf{\Delta}| % Not really good to use \left| and \right|
        &= % =& does not look good
        \begin{vmatrix}
                0 & 1 & 1\\
                2 & -4&0 \\
                1 &  0&-2
        \end{vmatrix}
        =0+0+0-(-4)-(-4)-0
        =8
        \\
% no blank line!
        d
        &= % not =&
                hello
\end{align}

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