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ach of the following sets of vectors in R³, say whether the vectors span R³. Support your ers with reasons. ) {(1,2,3), (–1,2, 3)} ) {2,-2,1), (0, 2, –2), (2,0, –1)} (d) {(1,1,1), (1, -1, –1), (–1, 1, –1), (–1, –1, 1)} (b) {(1,2,3), (–1, 2, 3), (0, 0, 0)}

ach of the following sets of vectors in R³, say whether the vectors span R³. Support your ers with reasons. ) {(1,2,3), (–1,2, 3)} ) {2,-2,1), (0, 2, –2), (2,0, –1)} (d) {(1,1,1), (1, -1, –1), (–1, 1, –1), (–1, –1, 1)} (b) {(1,2,3), (–1, 2, 3), (0, 0, 0)}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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do b,c & d

For each of the following sets of vectors in R³, say whether the vectors span R³. Support your answers with reasons. (a) {(1,2, 3), (–1, 2, 3)} (с) {(2, —2, 1), (0, 2, — 2), (2, 0, —1)} (а) {(1,1,1), (1,-1, —1), (-1, 1, -1), (—1, -1, 1)} (b) {(1,2,3), (–1, 2, 3), (0,0,0)} 6.
Transcribed Image Text:For each of the following sets of vectors in R³, say whether the vectors span R³. Support your answers with reasons. (a) {(1,2, 3), (–1, 2, 3)} (с) {(2, —2, 1), (0, 2, — 2), (2, 0, —1)} (а) {(1,1,1), (1,-1, —1), (-1, 1, -1), (—1, -1, 1)} (b) {(1,2,3), (–1, 2, 3), (0,0,0)} 6.
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