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a) Consider three points (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3)) in a 2D plane where x_(1) , x_(2) and x_(3) are distinct. Show that they lie on some
a) Consider three points
(x_(1),y_(1)),(x_(2),y_(2))
and
(x_(3),y_(3))
in a
2D
plane where
x_(1)
,\
x_(2)
and
x_(3)
are distinct. Show that they lie on some curve with equation\
y=a+bx+cx^(2)
for some scalars
a,b
and
c
.\ b) Find the condition of
c_(1)
in terms of
c_(2)
and
c_(3)
such that the following linear\ system is solvable:\
([1,-1,-1],[4,-2,2],[-3,1,-3])([x],[y],[z])=([c_(1)],[c_(2)],[c_(3)])
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