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

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

Expert Solution

Colby Messinger answered 2 years ago

(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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