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<p>When we multiply a matrix by an input vector we get an output vector, often in a new space. We can ask what this "linear transformation" does to all the vectors in a space. In fact, matrices were originally invented for the study of linear transformations.</p>
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<p><a href="/assets/courseware/v1/15d37e501d1ea383af9246eec30c6889/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_Unit_III_3_6_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 7.1 in the 4<sup>th</sup> edition or Section 8.1 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>
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