Answer by Soonts for What's the geometric meaning of a negative determinant?
I'm have trouble understanding what the "signed" mean here.By signed volume they mean scalar triple product of the edge vectors of the cube.So what's the geometric meaning of a negative determinant?The...
View ArticleAnswer by Tim Raczkowski for What's the geometric meaning of a negative...
The idea has to do with orientation, that is, which direction is right and which is left. Ultimately this has to do with which order is given for the basis elements. For example consider $\Bbb R^2$...
View ArticleWhat's the geometric meaning of a negative determinant?
Geometrically, the determinant of a matrix is the signed volume of a unit cube after the transformation defined by the matrix is applied. However, I'm have trouble understanding what the "signed" mean...
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