A bird’s eye view of linear algebra: The measure of a map — determinant

<p>We discussed in the&nbsp;<a href="https://medium.com/towards-data-science/a-birds-eye-view-of-linear-algebra-the-basics-29ad2122d98f" rel="noopener">previous chapter</a>&nbsp;the concept of vector spaces (basically n-dimensional collections of numbers &mdash; and more generally collections of&nbsp;<a href="https://en.wikipedia.org/wiki/Field_(mathematics)" rel="noopener ugc nofollow" target="_blank">fields</a>) and linear maps that operate on two of those vector spaces, taking objects in one to the other.</p> <p>As an example of these kinds of maps, one vector space could be the surface of the planet you&rsquo;re sitting on and the other could be the surface of the table you might be sitting at. Literal maps of the world are also maps in this sense since they &ldquo;map&rdquo; every point on the surface of the Earth to a point on a paper or surface of a table, although they aren&rsquo;t linear maps since they don&rsquo;t preserve relative areas (Greenland appears much larger than it is for example in some of the projections).</p> <p><a href="https://towardsdatascience.com/a-birds-eye-view-of-linear-algebra-the-measure-of-a-map-determinant-1e5fd752a3be"><strong>Website</strong></a></p>
Tags: Birds Eye