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(Solved): i need solution now please? 5) A rotation tensor R is defined by the relation Re1=e2,Re2=e ...


i need solution now please?
5) A rotation tensor \( R \) is defined by the relation \[ R e_{1}=e_{2}, R e_{2}=e_{3}, R e_{3}=e_{1} \] Find the matrix of
5) A rotation tensor is defined by the relation Find the matrix of and verify that 6) Given the impropre orthogonal tensor


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To find the matrix of   , we first need to express   , and    as column vectors. Assuming the standard basis for   , we have:

   ,    ,   

Using the given relations, we can then find the images of these vectors under   :

  
  
  

We can express these as column vectors and arrange them into a matrix:

  

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