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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 53E
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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}|
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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