https://www.chenk.top/zh/tags/eigenvectors/Recent content in Eigenvectors on Chen Kai BlogHugozh-CNWed, 05 Feb 2025 09:00:00 +0000https://www.chenk.top/zh/linear-algebra/06-%E7%89%B9%E5%BE%81%E5%80%BC%E4%B8%8E%E7%89%B9%E5%BE%81%E5%90%91%E9%87%8F/Wed, 05 Feb 2025 09:00:00 +0000https://www.chenk.top/zh/linear-algebra/06-%E7%89%B9%E5%BE%81%E5%80%BC%E4%B8%8E%E7%89%B9%E5%BE%81%E5%90%91%E9%87%8F/<h2 id="一个核心问题" class="heading-anchor">一个核心问题<a href="#%e4%b8%80%e4%b8%aa%e6%a0%b8%e5%bf%83%e9%97%ae%e9%a2%98" class="heading-link" aria-label="Permalink to this section" title="Copy link to this section">#</a> </h2><p>用矩阵作用到向量上，结果可能千变万化：大部分向量会被旋转、拉伸，最终指向一个全新的方向；但总有一些特殊的向量，无论怎样变换都不会离开自己的方向——它们只会被拉长、缩短或反向。</p>