(5) In each part below, find a basis for R4 that contains the given set, or...

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(5) In each part below, find a basis for R4 that contains thegiven set, or explain why that is not possible: (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)} (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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