3 ms·

Volume of what?

• deleted 8y ago
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• deleted 8y ago
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• tangentspace 8y ago
  Of the parallelepiped generated by the columns of the matrix. (https://textbooks.math.gatech.edu/ila/determinants-volumes.html https://textbooks.math.gatech.edu/ila/determinants-volumes.h...) The result of the determinant might be negative, which doesn't make sense for a volume, so you need to take the absolute value to interpret it that way. Another way to think of it is the change in volume caused by the linear transformation determined by the matrix (http://algebra.math.ust.hk/determinant/01_geometry/lecture3.shtml http://algebra.math.ust.hk/determinant/01_geometry/lecture3....)