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7. In each part, show that the set of vectors is not a basis for R. (a) {(2, -3, 1), (4, 1, 1), (0, –7, 1)} (b) {(1, 6, 4), (2, 4, – 1), (–1, 2, 5)}

7. In each part, show that the set of vectors is not a basis for R. (a) {(2, -3, 1), (4, 1, 1), (0, –7, 1)} (b) {(1, 6, 4), (2, 4, – 1), (–1, 2, 5)}

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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I need help with questions 7 and 12 please?

米 (a) {(2, –3, 1), (4, 1, 1), (0, –7, 1)} (b) {(1, 6, 4), (2, 4, -1), (–1, 2, 5)} 7. In each part, show that the set of vectors is not a basis for R.
Transcribed Image Text:米 (a) {(2, –3, 1), (4, 1, 1), (0, –7, 1)} (b) {(1, 6, 4), (2, 4, -1), (–1, 2, 5)} 7. In each part, show that the set of vectors is not a basis for R.
米 S = {u1, u2} for R2. 12. Find the coordinate vector of w relative to the basis %3D (a) u, = (1, -1), u2 = (1, 1); w = (1, 0) %3D (b) u, = (1,-1), u2 = (1, 1); w = (0, 1) %3D %3D
Transcribed Image Text:米 S = {u1, u2} for R2. 12. Find the coordinate vector of w relative to the basis %3D (a) u, = (1, -1), u2 = (1, 1); w = (1, 0) %3D (b) u, = (1,-1), u2 = (1, 1); w = (0, 1) %3D %3D
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