were these my notes i would have just written subindex for everything but i want to slide this to my prof to see how he reacts to the vector/covector stuff
can't say I missed steps I even said "let (x₁,...,xₙ) be a basis for IKⁿ"
ofc (y₁,...,yₙ₊₁) is a basis for IKⁿ⁺¹
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