You can add location information to your Tweets, such as your city or precise location, from the web and via third-party applications. You always have the option to delete your Tweet location history. Learn more
How does this explain the signedness? Why does transposing one pair of columns flip the “sign” of the volume, while transposing two pairs doesn’t?
A negative sign means space has been reflected through a plane (in 3d, means a change in "handedness"). Doesn't change the absolute value of the volumes. This is best illustrated with a few clarifying examples, which I won't try to go through on twitter.
The part of the volume explanation that seems mysterious is: how does reflecting through an even number of planes differ from reflecting through an odd number of planes?
Reflecting through one plane changes a left hand into a right hand. Reflecting through two changes it back. And so on.
Determinant is oriented volume. Subtle, but very important in applications.
Please write a blog post!
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.
