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For the matrix
,
consider the set
S={b∈R
3
:b=Axfor somex∈R
}.
An element of S
has the form A⎛
⎝
⎜
x
y
z
⎞
⎠
⎟
which can be written as the linear combination of vectors
Hel-----------lo -----------Sir-----------/Ma-----------dam----------- ----------- -----------Tha-----------nk -----------you----------- fo-----------r y-----------our----------- in-----------ter-----------est----------- an-----------d b-----------uyi-----------ng -----------my -----------pos-----------ted----------- so-----------lut-----------ion-----------. P-----------lea-----------se -----------pin-----------g m-----------e o-----------n c-----------hat----------- I -----------am -----------onl-----------ine----------- or----------- in-----------box----------- me----------- a -----------mes-----------sag-----------e I----------- wi-----------ll -----------be -----------qui-----------ckl-----------y