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Coordinate Transform Problem

manny
in Homework Help

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Hello,

 

I'm taking Wave Propagation Through Solids and I am required to have a background in linear elasticity. Unfortunately, I haven't take that course.

 

Knowing that the coordinates x1 , x2 , and x3 of a point are three independent variables, how can I show that the relation Ai = (dxj/dxi)Aj implies Ai = (dxj/dxi)Aj

Where A and x denote the transformed coordinates?

 

I'm thinking I might have to use the Kronecker Delta or transform differentials..but I'm not sure how to prove this.

 

Any help? Thanks!

 

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