So in the change of coordinates equation for multiple integrals, we have the Jacobian which allows us to change our bounds of integration.(adsbygoogle = window.adsbygoogle || []).push({});

It's the connection between multivariable calculus and linear algebra.

is this possible since the linear transformation allows a one-to-one-mapping between one coordinate system and the other coordinate system? And is this precisely the reason why we can take the Jacobian of a multiple integral?

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# Jacobian in change of coordinates

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