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Results tagged with linear-algebra
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user 129064
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
1
vote
How to efficiently compute the generalized cross product?
The last row in $\vec{b}$ should probably be simply $\det{A}$ without the $\mathrm{sgn}$ function. That way it agrees with the standard cross product.
After making this modification, it's straightfor …
- 401
4
votes
How does the parity of $n$ affect the properties of $\mathbb{R}^n$?
If the dimension of a vector space is odd, then all (orientation-preserving) rotations in odd dimensions fix some axis. Many of the differences between even-dimensional and odd-dimensional geometry r …