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Determine which of the following sets are bases for R3. (a) {(1,0,–1), (2, 5, 1), (0, –4, 3)} (Ъ) {(2, —4, 1), (0, 3, —1), (6, 0, —1)} (c) {(1,2,–1), (1, 0, 2), (2, 1, 1)} (d) {(-1,3, 1), (2, –4, –3), (–3,8, 2)} (e) {(1,–3, –2), (-3, 1,3), (–2, – 10, –2)}

Determine which of the following sets are bases for R3. (a) {(1,0,–1), (2, 5, 1), (0, –4, 3)} (Ъ) {(2, —4, 1), (0, 3, —1), (6, 0, —1)} (c) {(1,2,–1), (1, 0, 2), (2, 1, 1)} (d) {(-1,3, 1), (2, –4, –3), (–3,8, 2)} (e) {(1,–3, –2), (-3, 1,3), (–2, – 10, –2)}

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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Determine which of the following sets are bases for R3. (a) {(1,0,–1), (2, 5, 1), (0, –4, 3)} (Ъ) {(2, —4, 1), (0, 3, —1), (6, 0, —1)} (c) {(1,2,–1), (1, 0, 2), (2, 1, 1)} (d) {(-1,3, 1), (2, –4, –3), (–3,8, 2)} (e) {(1,–3, –2), (-3, 1,3), (–2, – 10, –2)}
Transcribed Image Text:Determine which of the following sets are bases for R3. (a) {(1,0,–1), (2, 5, 1), (0, –4, 3)} (Ъ) {(2, —4, 1), (0, 3, —1), (6, 0, —1)} (c) {(1,2,–1), (1, 0, 2), (2, 1, 1)} (d) {(-1,3, 1), (2, –4, –3), (–3,8, 2)} (e) {(1,–3, –2), (-3, 1,3), (–2, – 10, –2)}
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