Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Which of the following sets are subspaces of R³?
A. {(x, y, z) | 2x − 8y + 3z = 9}|
B. {(−5, y, z) | y, z arbitrary numbers }|
c. {(-9x, -2x, 8x) 1 x arbitrary number}
D. {(x, 0, 0) 1 x arbitrary number}|
E. {(x, y, z) |
− 5x + 4y + 7z = 0}|
-
F. {(x, y, z) x <y<z}|
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Transcribed Image Text:Which of the following sets are subspaces of R³? A. {(x, y, z) | 2x − 8y + 3z = 9}| B. {(−5, y, z) | y, z arbitrary numbers }| c. {(-9x, -2x, 8x) 1 x arbitrary number} D. {(x, 0, 0) 1 x arbitrary number}| E. {(x, y, z) | − 5x + 4y + 7z = 0}| - F. {(x, y, z) x <y<z}|
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