Introduction
Consider tw o finit e sequence s o f vector s i n th e plan e
A =
M
and B
T
0
[2
' V 3
1"
2
2
VI
1
2
2
s
The sequence A i s an orthonormal basi s (ONB ) fo r R 2, an d i t ha s
certain propertie s whic h w e recal l fro m calculu s an d linea r algebra .
The sequenc e B i s a bi t different . Le t u s compar e th e two .
Bot h A an d B ar e spanning set s for R
2,
s o every x G R
2
ca n
be writte n a s a linea r combinatio n o f th e vector s i n A , an d
similarly fo r th e vector s i n B.
Th e vectors in A ar e linearly independent , s o the coefficient s
in th e linea r expansio n x c\
c2
where c* G
1
http://dx.doi.org/10.1090/stml/040/01
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