We are moving towards understanding the signed area of a curve: a fundamental object in the Algebraic Calculus. Here we introduce transformations of the usual signed area: what happens when you translate a spline, and what happens when you apply a linear transformation to a spline: how do the signed areas change?
The important role of the determinant from linear algebra becomes clearer.
education film Transformations and Signed Areas | Algebraic Calculus One | Wild Egg | |
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