Let S be the set of vectors in R4 S ={(1,1,-1,2),(1,0,1,3),(1,-3,2,2),(0,-2-1,-2)} (a) State whether the vectors in...

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Let S be the set of vectors in R4
S ={(1,1,-1,2),(1,0,1,3),(1,-3,2,2),(0,-2-1,-2)}
(a) State whether the vectors in the set are linearlyindependent.
(b) Find the basis for S.
(c) Find the dimension of the column space (rank S).
(d) Find the dimension of the null space (nullity S).
(e) Find the basis for the null space of S?

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Questionawrite all vectors in the matrixthere is no pivot entry at last column so    See Answer
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