Complex Shoelace Theorem

complex numbers

I am learning about complex numbers and I have found this theorem similar to the shoelace theorem for Cartesian Coordinates

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But im not sure how to calculate this (?). I can't find any explanation online. I know basic matrices but I have never encountered that a matrix has a value (?)

Best Answer

This is known as a determinant of a matrix (you can tell by the absolute value signs on the matrix). For information on what a determinant is, as well as how to calculate it, see https://en.wikipedia.org/wiki/Determinant