3 ms·
A subspace of dimension n-1 of a n-dimensional vector space. It is an extension of the well-known concept of a 2d-plane in a 3d-space to nd-spaces.
by shakow 3y ago
A subspace of dimension n-1 of a n-dimensional vector space. It is an extension of the well-known concept of
a 2d-plane in a 3d-space to nd-spaces.
- eru 3y agoYou could also describe a hyperplane as the set of solutions of a system of linear equations.
- shakow 3y agoOr as the subspace of all the vectors are orthogonal to a given single vector, or as the subspace generated by any orthogonal basis with one base vector removed, or as the kernel of a linear form, ... – but a more visual explanation is probably better as a first foray in the question.