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mml-book / mml-book.github.io

Companion webpage to the book "Mathematics For Machine Learning"
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Plane intersections - question #719

Closed bojanv55 closed 7 months ago

bojanv55 commented 2 years ago

page 21:

When we intersect these planes, i.e., satisfy all linear equations at
the same time, we can obtain a solution set that is a plane, a line, a point
or empty (when the planes have no common intersection).

can it actually be a point?

AnshG714 commented 1 year ago

Same question - I don't think 2 planes can intersect at a point if they are infinite?

mpd37 commented 7 months ago

2 planes (2D subspaces) can intersect in a point when the dimensionality of the vector space is 4D or higher.