Comment by eru

3 years ago

You could also describe a hyperplane as the set of solutions of a system of linear equations.

Or 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.

  • I agree that a more visual explanation is better in general.

    I was trying to hint how the visual explanation relates to the long vectors of numbers we actually feed our machine learning contraptions with. Not sure I was successful.