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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
I need help with questions 7 and 12 please?
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(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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7a4bac8-0e4a-4963-a104-8f52ebd410f6%2Fa80cc698-9dd8-4145-99ee-bc3de54c41fa%2Fea6zlxz_processed.jpeg&w=3840&q=75)
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
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(a) u, = (1, -1), u2 = (1, 1); w = (1, 0)
%3D
(b) u, = (1,-1), u2 = (1, 1); w = (0, 1)
%3D
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7a4bac8-0e4a-4963-a104-8f52ebd410f6%2Fa80cc698-9dd8-4145-99ee-bc3de54c41fa%2F3ixxuwn_processed.jpeg&w=3840&q=75)
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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