https://www.chenk.top/en/tags/basis/Recent content in Basis on Chen Kai BlogHugoenWed, 08 Jan 2025 09:00:00 +0000https://www.chenk.top/en/linear-algebra/02-linear-combinations-and-vector-spaces/Wed, 08 Jan 2025 09:00:00 +0000https://www.chenk.top/en/linear-algebra/02-linear-combinations-and-vector-spaces/<p><figure class="article-figure"> <img src="https://blog-pic-ck.oss-cn-beijing.aliyuncs.com/posts/en/linear-algebra/02-linear-combinations-and-vector-spaces/illustration_1.png" alt="Essence of Linear Algebra (2): Linear Combinations and Vector Spaces — Chapter overview" loading="lazy" decoding="async" class="content-image"> </figure> </p> <hr> <h2 id="why-this-chapter-matters" class="heading-anchor">Why This Chapter Matters<a href="#why-this-chapter-matters" class="heading-link" aria-label="Permalink to this section" title="Copy link to this section">#</a> </h2><p>Open a box of crayons that contains only <strong>red, green, and blue</strong>. How many colors can you draw? The honest answer is <strong>infinitely many</strong> — every shade you have ever seen on a screen is just a different mix of those three. Three &ldquo;ingredients&rdquo; produce an entire universe.</p>