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and remember, my friends: subindex is for vector fields and superindex is for covector fields!

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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

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can't say I missed steps I even said "let (x₁,...,xₙ) be a basis for IKⁿ"

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ofc (y₁,...,yₙ₊₁) is a basis for IKⁿ⁺¹

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