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<p>A basis is a set of vectors, as few as possible, whose combinations produce all vectors in the space. The number of basis vectors for a space equals the dimension of that space.</p>
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<p><a href="/assets/courseware/v1/61166eb0023382c78313711dd3d85a76/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_2.0_LecTrans.pdf" target="[object Object]">Lecture video transcript (PDF)</a></p>
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<h3>Lecture Summary</h3>
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<h3>Suggested Reading</h3>
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<li>Read Section 3.5 in the 4<sup>th</sup> edition or Section 3.4 in the 5<sup>th</sup> edition.</li>
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<p>Work the problems on your own and check your answers when you're done.</p>
<p><a href="/assets/courseware/v1/ba78a0ec35be7cbb8e6b6c9a2f187958/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_2.0_Exercises.pdf" target="[object Object]">Exercises on independence, basis, and dimension (PDF)</a></p>
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