and another
basis 
.The basis vectors of S can be
expressed in terms of the Cartesian basis 
as
and 
and those of S' as
and 
.Given:
A basis and another
basis .The basis vectors of S can be
expressed in terms of the Cartesian basis as
and and those of S' as
and .
Asked: Find (1) the change of basis matrix P from S to S'; (2) the change of basis matrix Q from S' back to S.
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