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college Algebra/Linear Algebra

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Find a Basis for each of these substances of R^4
(a) All vectors whose components are equal
(b) All vectors whose component add to zero
(c) All vectors that are perpendicular to (1,1,0,0) and (1,0,11)
(d) The column space (In R^2) and nullspace(In R^5) of U=[1 0 1 0 1]
[0 1 0 1 0]

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