Determinants after Linear Algebra Done Right

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I realize that Axler's Linear Algebra Done Right is a great textbook, and the removal of determinants is often pedagogically sound. However, I was doing some problems on a practice entrance exam, and I was surprised by the amount of times solutions would involve having to apply determinants to geometric situations.

Therefore, my question is this: Where I can learn more about determinants, preferably without having to relearn all of linear algebra from another textbook?

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For an easy introduction to determinants there are a lot of online resources. See for example

  1. Very basic intro to determinant

  2. Another intro to determinant with graphical representation

For a very nice graphic representation have a look at this youtube video.

Hope this helps!