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In: Advanced Math

(6) In each part below, find a basis for R4 CONTAINED IN the given set, or...

(6) In each part below, find a basis for R4 CONTAINED IN the given set, or explain why that is not possible: Do not use dimension
(a) {(1,1,0,0),(1,0,1,0),(0,1,1,0)}
(b) {(1,−1,0,0),(1,0,−1,0),(0,1,−1,0),(0,0,0,1)}
(c) {(1,1,0,0),(1,−1,0,0),(0,1,−1,0),(0,0,1,−1)}
(d) {(1,1,1,1),(1,2,3,4),(1,4,9,16),(1,8,27,64),(1,16,81,256)}

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