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    Linear Algebra : Linear transformations, Diagaonalization and Adjoints

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    Let V be a , but with the weighted inner product, ,
    ,where and . Let be the linear transformation given by T(a,b,c)=(3a-2c,b,3a+10c).

    a. Show that T can be diagonalized and find a basis for V comprised of eigenvectors of T.
    b. Find the matrix of the adjoint of T with respect to the basis .

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    https://brainmass.com/math/linear-algebra/linear-algebra-linear-transformations-diagaonalization-adjoints-159299

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    Proof:
    (a) Since , then the matrix representation of , ...

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    Linear transformations, Diagaonalization and Adjoints are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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