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ON3 #128

Open fragandi opened 1 month ago

fragandi commented 1 month ago

Construct an othonormal basis for a subspace

fragandi commented 1 month ago

Idea for assessment: three basis A, B, C

  1. Which is orthonormal
  2. Which orthogonal but not normal
  3. For the basis which is not orthogonal, demonstrate how to build an orthonormal basis for that subspace.
  4. Anything familiar about your answer in 3? Explain this phenomenon.
fragandi commented 1 month ago

@jbunn3 As I was thinking about this, I had the idea above for the checkit problem (also easy to code)

jbunn3 commented 1 month ago

Thanks,

Which is orthonormal

This is fine.

Which orthogonal but not normal

I would write orthonormal instead of just normal.

For the basis which is not orthogonal, demonstrate how to build an orthonormal basis for that subspace.

I might change the wording to "demonstrate how to modify the basis so that it is orthonormal" or something like that.

Anything familiar about your answer in 3? Explain this phenomenon.

I'm not really sure what your intention is with this part, since they are just adjusting lengths of vectors. Did you have a scaffolded activity in mind where they would already be normalizing individual vectors?

fragandi commented 1 month ago
  1. I was thinking that maybe the orthonormal basis given is the one they should get if they perform the orthogonalization correctly. (so that they can also “check” their answer to 3. )