10. Let n > 2 be an integer and let V be the subset of F" consisting of vectors (x1,..., xn) satisfying X1 + x2 +...+ xn = 0, x1 + 2x2 +...+ nxn = 0. The dimension of V is (a) 2 (b) п — 2 (с) п — 1 (d) п (е) п +1
10. Let n > 2 be an integer and let V be the subset of F" consisting of vectors (x1,..., xn) satisfying X1 + x2 +...+ xn = 0, x1 + 2x2 +...+ nxn = 0. The dimension of V is (a) 2 (b) п — 2 (с) п — 1 (d) п (е) п +1
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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![10. Let n > 2 be an integer and let V be the subset of F" consisting of vectors (x1,..., xn) satisfying
xi + x2 +…+xn =
0,
x1 + 2x2 +...+ nxn = 0.
The dimension of V is
(a) 2
(b) п — 2
(с) п — 1
(d) п
(е) п + 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a2b9261-2a0d-4e40-836c-2d268431eab4%2F05983d22-bb4b-4bbf-94fd-8811030a2bd4%2F8soxjn_processed.png&w=3840&q=75)
Transcribed Image Text:10. Let n > 2 be an integer and let V be the subset of F" consisting of vectors (x1,..., xn) satisfying
xi + x2 +…+xn =
0,
x1 + 2x2 +...+ nxn = 0.
The dimension of V is
(a) 2
(b) п — 2
(с) п — 1
(d) п
(е) п + 1
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