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<p><img src="/image/4/image1.png" alt="image1"></p>
<h4 id="矩阵乘法"><a href="#矩阵乘法" class="headerlink" title="矩阵乘法"></a>矩阵乘法</h4><h4 id="复合变换："><a href="#复合变换：" class="headerlink" title="复合变换："></a>复合变换：</h4><p><img src="/image/4/image2.png" alt="image2"></p>
<p><img src="/image/4/image3.png" alt="image3"></p>
<p><img src="/image/4/image4.png" alt="image4"></p>
<h4 id="矩阵乘法是从右往左的，因为函数的书写就是从右往左的eg-f-g-x"><a href="#矩阵乘法是从右往左的，因为函数的书写就是从右往左的eg-f-g-x" class="headerlink" title="矩阵乘法是从右往左的，因为函数的书写就是从右往左的eg: f(g(x))"></a>矩阵乘法是从右往左的，因为函数的书写就是从右往左的eg: f(g(x))</h4><h4 id="先乘i-和M2"><a href="#先乘i-和M2" class="headerlink" title="先乘i^和M2"></a>先乘i^和M2</h4><p><img src="/image/4/image5.png" alt="image5"></p>
<h4 id="后乘j-和M2"><a href="#后乘j-和M2" class="headerlink" title="后乘j^和M2"></a>后乘j^和M2</h4><p><img src="/image/4/image6.png" alt="image6"></p>
<p><strong>Note:</strong></p>
<p><img src="/image/4/image7.png" alt="image7"></p>
<h4 id="结合律（Associativty）"><a href="#结合律（Associativty）" class="headerlink" title="结合律（Associativty）"></a>结合律（Associativty）</h4><p><img src="/image/4/image8.png" alt="image8"></p>
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<h4 id="线性变换（Linear-transformation）"><a href="#线性变换（Linear-transformation）" class="headerlink" title="线性变换（Linear transformation）"></a>线性变换（Linear transformation）</h4><p><img src="/image/3/image2.png" alt="image2"><br><img src="/image/3/image3.png" alt="image3"></p>
<h4 id="矩阵（Matrix"><a href="#矩阵（Matrix" class="headerlink" title="矩阵（Matrix)"></a>矩阵（Matrix)</h4><p><img src="/image/3/image4.png" alt="image4"><br><img src="/image/3/image5.png" alt="image5"></p>
<h4 id="矩阵向量乘法"><a href="#矩阵向量乘法" class="headerlink" title="矩阵向量乘法"></a>矩阵向量乘法</h4><p><img src="/image/3/image6.png" alt="image6"></p>
<p><strong>总之线性变换是操纵空间的一种手段</strong></p>
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<h3 id="1-向量究竟是什么"><a href="#1-向量究竟是什么" class="headerlink" title="1. 向量究竟是什么?"></a>1. 向量究竟是什么?</h3><p><img src="/image/1/image1.png" alt="image1"></p>
<p><img src="/image/1/image2.png" alt="image1"></p>
<p><img src="/image/1/image3.png" alt="image1"></p>
<p><img src="/image/1/image4.png" alt="image1"></p>
<h3 id="2-向量的加法："><a href="#2-向量的加法：" class="headerlink" title="2.向量的加法："></a>2.向量的加法：</h3><p><img src="/image/1/image5.png" alt="image1"></p>
<p><strong>Note:</strong></p>
<p><img src="/image/1/image6.png" alt="image1"></p>
<p><img src="/image/1/image7.png" alt="image1"></p>
<h3 id="3-向量的数乘："><a href="#3-向量的数乘：" class="headerlink" title="3.向量的数乘："></a>3.向量的数乘：</h3><p><img src="/image/1/image8.png" alt="image1"></p>
<p><strong>向量的数乘就是向量的缩放（Scaling）。 缩放的数字 -2，1，1/3我们称为标量（Scalars），因此我们常常把Scalarls和Number互换。</strong></p>
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