[Bug] 矩阵显示错误

[coffee-guy]

Describe the bug
gpr4-1106-preview
latex语法显示出错

gpt回复内容：
一个三阶酉矩阵的例子可以是以下矩阵：

[ U = \begin{bmatrix}
\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \
0 & 1 & 0 \
\frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}}
\end{bmatrix} ]

为了验证这个矩阵确实是酉的，我们需要检查它是否满足 ( U^{\dagger}U = UU^{\dagger} = I )，其中 ( I ) 是三阶单位矩阵。

首先，计算 ( U^{\dagger} )（U 的共轭转置）：

[ U^{\dagger} = \begin{bmatrix}
\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \
0 & 1 & 0 \
\frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}}
\end{bmatrix}^{\dagger} = \begin{bmatrix}
\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \
0 & 1 & 0 \
\frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}}
\end{bmatrix} ]

（注意：在这个特殊的例子中，矩阵 U 的元素都是实数，所以共轭转置只涉及转置。）

接下来，计算 ( U^{\dagger}U ) 和 ( UU^{\dagger} )：

[ U^{\dagger}U = \begin{bmatrix}
\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \
0 & 1 & 0 \
\frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}}
\end{bmatrix} \begin{bmatrix}
\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \
0 & 1 & 0 \
\frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}}
\end{bmatrix} = \begin{bmatrix}
1 & 0 & 0 \
0 & 1 & 0 \
0 & 0 & 1
\end{bmatrix} = I ]

[ UU^{\dagger} = \begin{bmatrix}
\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \
0 & 1 & 0 \
\frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}}
\end{bmatrix} \begin{bmatrix}
\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \
0 & 1 & 0 \
\frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}}
\end{bmatrix} = \begin{bmatrix}
1 & 0 & 0 \
0 & 1 & 0 \
0 & 0 & 1
\end{bmatrix} = I ]

由于 ( U^{\dagger}U ) 和 ( UU^{\dagger} ) 都等于单位矩阵 I，我们可以确认这个矩阵 U 是酉的。

To Reproduce
Steps to reproduce the behavior:

1. 提问gpt4 turbo
2. 给我一个三阶酉矩阵的例子
3. 矩阵latex显示出错

Expected behavior
A clear and concise description of what you expected to happen.

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Desktop (please complete the following information):

• OS: [e.g. iOS]
• Browser [e.g. chrome, safari]
• Version [e.g. 22]

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• Device: [e.g. iPhone6]
• OS: [e.g. iOS8.1]
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[Issues-translate-bot]

Bot detected the issue body's language is not English, translate it automatically.

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Title: [Bug] Matrix display error

[H0llyW00dzZ]

it's model issue related #3351

[coffee-guy]

it's model issue related #3351

i use gpt4-1106-preview

[Yidadaa]

OpenAI 为了避免 LaTex 的公式符号与美元 $ 符号冲突，使用 [] 作为公式语法，所以会出现这种情况，虽然现在可以通过调整 prompts 来解决，但未来需要提交代码，来彻底解决这个问题。

#3239

[Issues-translate-bot]

Bot detected the issue body's language is not English, translate it automatically.

---

In order to avoid conflicts between LaTex formulas and the dollar sign, OpenAI uses [] as the formula syntax, so this situation occurs. Although it can be solved by adjusting prompts now, code needs to be submitted in the future to completely solve this problem.

#3239