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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,&#8722;4x &#8722; 3z,&#8722;6x &#8722; 4y &#8722; 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,&#8722;1,&#8722;2), (1, 0,&#8722;1), (3,&#8722;2,&#8722;2)} = {ei} for V and find the matrix representing ' with respect to this basis, i.e. MEE ('). Find the matrix P that conjugates... into ...

##### Solution Summary

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

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