Course website: https://www.adampanagos.org/ala-applied-linear-algebra
We use determinants to compute the area of a parallelogram in this example video. We also verify that the determinant approach to computing area yield the same answer obtained using “conventional” area computations.
While this particular example is for a 2-D parallelogram, the same concept applies to larger dimensions (e.g. 3-D parallelpipeds, etc.).
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