I have an implicit function f(x,y,z) which represents a surface in the XYZ Cartesian reference frame. I would like to change this current XYZ reference frame by a matrix M.(adsbygoogle = window.adsbygoogle || []).push({});

ie.

[itex]M: XYZ \rightarrow X'Y'Z'[/itex]

If I have a vector v in XYZ, then v'=Mv is my representation of v in the X'Y'Z' reference frame. But how do I get a representation of my function f in X'Y'Z'? Specially, as f is given in terms of (x,y,z) and cannot easily be solved for each of its components.

Thanks

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# Representing a function in a different space

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