𝕀 生成单位矩阵Generate Unit Matrix

使用说明与常见问题How-to & FAQ

「生成单位矩阵」是什么？What is the Generate Unit Matrix tool?

生成 n×n 单位矩阵（与「生成单位矩阵 / identity」相同族）。本地处理。可设置「阶数 n」、「分隔」。Generate an n×n identity (unit) matrix. Processed locally. Settings: Order n, Separator.

如何使用「生成单位矩阵」？How do I use the Generate Unit Matrix tool?

在「生成单位矩阵」中，按需设置「阶数 n」、「分隔」，结果会实时显示在下方，点击「复制结果」即可复制。In the Generate Unit Matrix: Adjust "Order n", "Separator"; the result appears below instantly — click "Copy result" to copy it.

单位矩阵和恒等矩阵是一回事吗？Is a unit matrix the same as an identity matrix?

是的，两者是同一个东西：主对角线全为 1、其余全为 0 的 n×n 方阵。本页阶数可设 1–100，元素可用空格或逗号分隔。Yes, they are the same thing: an n×n square matrix with 1s on the main diagonal and 0s elsewhere. The order can be 1–100 here, and entries can be separated by spaces or commas.

输入和输出是什么样的？What does the input and output look like?

例如在「生成单位矩阵」中把「阶数 n」设为 2，输出为：1 0 ⏎ 0 1（⏎ 表示换行）。For example, in the Generate Unit Matrix with "Order n" set to 2, the output is: 1 0 ⏎ 0 1 (⏎ marks a line break).

有哪些选项可以调整？What options can I adjust?

「生成单位矩阵」的设置：「阶数 n」默认 4；「分隔」可选 空格、逗号（默认 空格）。每次生成结果都按当前设置处理。Settings in the Generate Unit Matrix — "Order n" default 4; "Separator": Spaces, Commas (default Spaces). The result always uses the current settings.

计算精度如何？How precise are the results?

「生成单位矩阵」输出的每一项都是精确的整数（只有 0 和 1），计算中没有舍入，也不涉及浮点精度问题。Every term the Generate Unit Matrix outputs is an exact integer (only 0 and 1); there is no rounding and floating-point precision never comes into play.

「生成单位矩阵」免费吗？需要注册吗？Is the Generate Unit Matrix free? Do I need an account?

「生成单位矩阵」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Generate Unit Matrix is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.