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    Linear Transformations, Change of Basis and Conjugation

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    Let V = Q3 and let ' be the linear transformation from V to itself:
    '(x, y, z) = (9x + 4y + 5z,−4x − 3z,−6x − 4y − 2z), x, y, z E Q
    With respect to the standard basis B find the matrix representing this linear transformation.
    Take the basis E = {(2,−1,−2), (1, 0,−1), (3,−2,−2)} = {ei} for V and find the matrix representing ' with respect to this basis, i.e. MEE ('). Find the matrix P that conjugates... into ...

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    Solution Summary

    Linear Transformations, Change of Basis and Conjugation are investigated. The solution is detailed and well presented.