Worked through Axler exercises in section 3.F, 28-31.

28

Some general feeling of missing important results about null T', nothing when I reviewed chapter

30

Approached this by trying to prove there is a basis of V these lin ind functionals are dual of (turned out to be problem 31), the proof was a combination of commerelial and entational symbolic manipulation to build up the construction.

List of vectors to "fill" the rest of the dimension ejudes out to the right.

Snippet of construction: "ϕ₃ must be non-zero for one of these" accompanied by entational list of v₃-v_n.

Seems like conversational commerel + entational manipulation + looking for some feeling of "confirmation" (or lack of disconfirmation?).