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

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Chapter2: Second-order Linear Odes
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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
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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