Show that the representation in equation (6) is unique, that is, if x = 1x1 + a2x2

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Show that the representation in equation (6) is unique, that is, if
x = α1x1 + a2x2 +..........+ anxn
and also if
x = β1x1 + β2x2 +............+ βnxn
then αi = βi for all i.
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