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Let V denote the vector space consisting of all vectors in R³ for which the sum of the coordinates equals zero. The vectors x1 = (2, –3, 4, –5, 2), х, — (3, —2, 7, -9, 1), Xs = (-1, 1, 2, 1, – 3), х, — (1, 0, — 2, 3, — 2), generate V. Find a subset of {x,..., x} that is a basis for V. ха— (-6, 9, — 12, 15, -6), X4 = (2, –8, 2, –2, 6), X6 = (0, –3, – 18, 9, 12), Xg = (2, – 1, 1, -9, 7) %3D

Let V denote the vector space consisting of all vectors in R³ for which the sum of the coordinates equals zero. The vectors x1 = (2, –3, 4, –5, 2), х, — (3, —2, 7, -9, 1), Xs = (-1, 1, 2, 1, – 3), х, — (1, 0, — 2, 3, — 2), generate V. Find a subset of {x,..., x} that is a basis for V. ха— (-6, 9, — 12, 15, -6), X4 = (2, –8, 2, –2, 6), X6 = (0, –3, – 18, 9, 12), Xg = (2, – 1, 1, -9, 7) %3D

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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Let V denote the vector space consisting of all vectors in R³ for which the sum of the coordinates equals zero. The vectors x1 = (2, –3, 4, –5, 2), х, — (3, —2, 7, -9, 1), Xs = (-1, 1, 2, 1, – 3), х, — (1, 0, — 2, 3, — 2), generate V. Find a subset of {x,..., x} that is a basis for V. ха— (-6, 9, — 12, 15, -6), X4 = (2, –8, 2, –2, 6), X6 = (0, –3, – 18, 9, 12), Xg = (2, – 1, 1, -9, 7) %3D
Transcribed Image Text:Let V denote the vector space consisting of all vectors in R³ for which the sum of the coordinates equals zero. The vectors x1 = (2, –3, 4, –5, 2), х, — (3, —2, 7, -9, 1), Xs = (-1, 1, 2, 1, – 3), х, — (1, 0, — 2, 3, — 2), generate V. Find a subset of {x,..., x} that is a basis for V. ха— (-6, 9, — 12, 15, -6), X4 = (2, –8, 2, –2, 6), X6 = (0, –3, – 18, 9, 12), Xg = (2, – 1, 1, -9, 7) %3D
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