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Show that the vectors are linearly dependent and find the relation between them X1=[1,2,-1,0], X2=[1,3,1,2], X3=[4,2,1,0], X4=[6,1,0,1].
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N vector, X1, X2, X3, ...., Xn are linearly dependent if there exist scalars c1, c2, ...., cn, not all zero such that

$\displaystyle \sum^n_{i=1} c_i X_i = 0$

The given vector are

$X_1= [1, 2, -1, 0]$

$X_2 = [11, 0, 1, 2]$

$X_3=[4, 2, 1, 0]$ and

$X_4 …

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