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of the following sets are subspaces of R? (1, Y, z) | 1 + y + z = 8} (-7, y, z) | y, z arbitrary numbers } (x, y, z) | – 7z + 2y – 3z = 0} (x, y, z) | 7z – 2y = 0, 3z – 8z = 0} (x, Y, z) | 1, Y, z > 0} (-8z+ 4y, 6x – 9y, 5z + 9y) | z, y arbitrary numbers }

of the following sets are subspaces of R? (1, Y, z) | 1 + y + z = 8} (-7, y, z) | y, z arbitrary numbers } (x, y, z) | – 7z + 2y – 3z = 0} (x, y, z) | 7z – 2y = 0, 3z – 8z = 0} (x, Y, z) | 1, Y, z > 0} (-8z+ 4y, 6x – 9y, 5z + 9y) | z, y arbitrary numbers }

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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'hich of the following sets are subspaces of IR? A. {(x, y, z) | ¤ + y + z = 8} |B. {(-7, y, z) | y, z arbitrary numbers } C. {(x, y, z) | – 7x + 2y – 3z = 0} D. {(x, y, 2) | 7æ – 2y = 0, 3x – 8z = 0} E. {(r, y, z) | a, Y, z > 0} F. {(-8x + 4y, 6x – 9y, 5x + 9y) | x, y arbitrary numbers }
Transcribed Image Text:'hich of the following sets are subspaces of IR? A. {(x, y, z) | ¤ + y + z = 8} |B. {(-7, y, z) | y, z arbitrary numbers } C. {(x, y, z) | – 7x + 2y – 3z = 0} D. {(x, y, 2) | 7æ – 2y = 0, 3x – 8z = 0} E. {(r, y, z) | a, Y, z > 0} F. {(-8x + 4y, 6x – 9y, 5x + 9y) | x, y arbitrary numbers }
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