在MATLAB中求解矩阵? [英] Solving a matrix in MATLAB?

问题描述

在 MATLAB 中，如何解决x的(非平凡的)解Ax = 0 ?

How does one solve the (non-trivial) solution Ax = 0 for x in MATLAB?

A = matrix
x = matrix trying to solve for

我尝试了solve('A * x = 0'，'x')，但答案只有0.

I've tried solve('A * x = 0', 'x') but I only get 0 for an answer.

推荐答案

请注意，null(A)与(针对秩不足的矩阵)做以下相同的事情，但这是使用MATLAB中的svd(A)函数(正如我在评论中提到的那样，这是null(A)的作用).

Please note that null(A) does the same thing (for a rank-deficient matrix) as the following, but this is using the svd(A) function in MATLAB (which as I've mentioned in my comments is what null(A) does).

[U S V] = svd(A);
x = V(:,end)

有关此的更多信息，这是与此相关的链接(无法发布由于公式的原因，到这里.

For more about this, here's an link related to this (can't post it to here due to the formulae).

如果您想更直观地了解奇异值分解和特征值分解，请查看MATLAB中的eigshow.

If you want a more intuitive feel of singular and eigenvalue decompositions check out eigshow in MATLAB.

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