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The determinant represents the scalar factor by which any region's area changes under the transformation. For example, if a unit square becomes a rectangle with an area of 6, the determinant is 6.

Conditions: Linear transformation in 2D space; Measurable planar regions

The determinant represents the scalar factor by which any region's area changes under the transformation. For example, if a unit square becomes a rectangle with an area of 6, the determinant is 6.

Conditions: Linear transformation in 2D space; Measurable planar regions