简单的 3x3 矩阵逆代码 (C++) [英] Simple 3x3 matrix inverse code (C++)

问题描述

计算 3x3 矩阵逆的最简单方法是什么?

我只是在寻找一个简短的代码片段，它可以解决非奇异矩阵的问题，可能会使用 Cramer 规则.它不需要高度优化.我更喜欢简单而不是速度.我宁愿不链接其他库.

解决方案

为什么不尝试自己编写代码?把它当作一个挑战.:)

对于 3×3 矩阵

_{(来源:
(来源:wolfram.com)}

我假设你知道矩阵的行列式 |A|是.

<块引用>

图像 (c) Wolfram|Alpha 和mathworld.wolfram (06-11-09,22.06)

What's the easiest way to compute a 3x3 matrix inverse?

I'm just looking for a short code snippet that'll do the trick for non-singular matrices, possibly using Cramer's rule. It doesn't need to be highly optimized. I'd prefer simplicity over speed. I'd rather not link in additional libraries.

解决方案

Why don't you try to code it yourself? Take it as a challenge. :)

For a 3×3 matrix

_{(source: wolfram.com)}

the matrix inverse is

_{(source: wolfram.com)}

I'm assuming you know what the determinant of a matrix |A| is.

Images (c) Wolfram|Alpha and mathworld.wolfram (06-11-09, 22.06)

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