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x,y ∈V αx+βy ∈V (i.e. you can’t leave V using vector addition and scalar multiplication). Also, when we write for α,β∈F and x ∈V (α+β)x the ‘+’ is in the field, whereas when we write x + y for x,y ∈V,the‘+’is in the vector space. There is a multiple usage of this symbol. Examples.

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Jacobian Function linksIf u+v=e^cosy & u-v=e^xsiny. find the Jacobian function. - https://youtu.be/8D9QGYyUC9IIf u=e^ucosv, y=e^usinv. Prove that JJ' = 1 - h...

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