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Let D={d_(1),d_(2),d_(3)} and F={f_(1),f_(2),f_(3)} be bases for a vector space V , and suppose f_(1)=6d_(1)-d_(2)+2d_(3),f_(2)=5d_(2)+d_(3),f_(3)=-4d_(1)+2d_(3) . a. Find the change-of-coordinates matrix from F to D
Let
D={d_(1),d_(2),d_(3)}
and
F={f_(1),f_(2),f_(3)}
be bases for a vector space
V
, and suppose
f_(1)=6d_(1)-d_(2)+2d_(3),f_(2)=5d_(2)+d_(3),f_(3)=-4d_(1)+2d_(3)
.\ a. Find the change-of-coordinates matrix from
F
to
D
.\ b. Find
[x]_(D)
for
x=f_(1)-4f_(2)+4f_(3)
.\ a.
P_(DlarrF)=
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