<div style="padding:40px;color:#cbccc6"><h1>SVD 几何分解</h1><p>矩阵 = 旋转 + 缩放 + 旋转。单位圆 → 椭圆。</p><div style="padding:20px;background:#0d1017;border-left:3px solid #ffb454"><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal">A</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.109em;">U</span></span><span class="mspace newline"></span><span class="base"><span class="strut" style="height:1.0858em;vertical-align:-0.1944em;"></span><span class="mord mathnormal" style="margin-right:0.0576em;">S</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:0.0359em;">g</span><span class="mord mathnormal">ma</span><span class="mord"><span class="mord mathnormal" style="margin-right:0.2222em;">V</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8913em;"><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight" style="margin-right:0.1389em;">T</span></span></span></span></span></span></span></span></span></span></span></span></div><p style="color:#707a8c">该页面需要 JavaScript 进行交互式可视化。</p></div>