Interpreting determinants in terms of area | Matrices | Precalculus | Khan Academy

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The determinant of a 2X2 matrix tells us what the area of the image of a unit square would be under the matrix transformation. This, in turn, allows us to tell what the area of the image of any figure would be under the transformation.

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Great video. Nicely explained. The determinant is also the product of the Eigen values of the matrix. It’s an interesting thing as they are all related.

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This concept finally leads to Jacobian in Calculus.

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