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<p>The determinant of a matrix is a single number which encodes a lot of information about the matrix. Three simple properties completely describe the determinant. In this lecture we also list seven more properties like det<em>AB</em> = (det<em>A</em>)(det<em>B</em>) that can be derived from the first three.</p>
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<h2 class="hd hd-2 unit-title">Lecture Summary and Reading</h2>
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<h3>Lecture Summary </h3>
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<li><a href="/assets/courseware/v1/9896efdb834af6f3716a105bdab79b0f/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_Unit_II_2.5_Lecsum.pdf" target="[object Object]">Properties of Determinants (PDF)</a></li>
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<h3>Suggested Reading </h3>
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<li>Read Section 5.1 in the 4<sup>th</sup> or 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/v1/16fda56dcc88d49216e66771dac9cb9e/asset-v1:OCW+18.06SC+2T2019+type@asset+block/18.06_Unit_II_2.5_Exercises.pdf" target="[object Object]">Exercises on properties of determinants (PDF)</a></p>
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