𝕀 生成单位矩阵Generate Identity 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 Identity Matrix tool?

生成 n×n 单位矩阵（对角线为 1，其余为 0），可调分隔符。本地处理。可设置「阶数 n」、「分隔」。Generate an n×n identity matrix (1 on the diagonal, 0 elsewhere); choose the separator. Processed locally. Settings: Order n, Separator.

如何使用「生成单位矩阵」？How do I use the Generate Identity 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 Identity Matrix: Adjust "Order n", "Separator"; the result appears below instantly — click "Copy result" to copy it.

只有 0/1 吗？Only 0 and 1?

是。单位矩阵对角线上是 1，其余都是 0，每行一行文本，元素之间用所选的空格、逗号或制表符分隔（制表符适合直接粘贴进表格软件）。需要其他符号或方括号格式时请在结果上自行替换。Yes. An identity matrix has 1 on the diagonal and 0 everywhere else; each row is one line of text with entries separated by spaces, commas or tabs (tabs paste straight into a spreadsheet). Replace symbols or add brackets yourself if you need another format.

阶数最大是多少？What is the largest order?

1–100。超出范围、留空或填小数时会提示，不会悄悄改成别的值。1 to 100. Out-of-range, empty or decimal values give a message instead of being changed silently.

结果精确吗？Is the result exact?

精确。结果只是 0 和 1 组成的文本，不经过浮点计算。Yes. The result is just text made of 0s and 1s; no floating-point arithmetic is involved.

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 3，输出为：1 0 0 ⏎ 0 1 0 ⏎ 0 0 1（⏎ 表示换行）。For example, in the Generate Identity Matrix with "Order n" set to 3, the output is: 1 0 0 ⏎ 0 1 0 ⏎ 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、制表符（默认 空格）。每次生成结果都按当前设置处理。Settings in the Generate Identity Matrix — "Order n" default 4; "Separator": Spaces, Commas, Tabs (default Spaces). The result always uses the current settings.

「生成单位矩阵」免费吗？需要注册吗？Is the Generate Identity 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 Identity 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.