Which of the following sets are subspaces of R°? O A. {(x, y, z) | x, y, z > 0} В. { (8х + 6у, —Зх — 4у, 5х + 4y) | х, у arbitrary numbers } OC. {(x,0,0) | x arbitrary number } D. {(x, y, z) | x + y+ z = –8} OE. {(7, y, z) | y, z arbitrary numbers } OF. {(x, y, z) | x + y+ z = 0}
Which of the following sets are subspaces of R°? O A. {(x, y, z) | x, y, z > 0} В. { (8х + 6у, —Зх — 4у, 5х + 4y) | х, у arbitrary numbers } OC. {(x,0,0) | x arbitrary number } D. {(x, y, z) | x + y+ z = –8} OE. {(7, y, z) | y, z arbitrary numbers } OF. {(x, y, z) | x + y+ z = 0}
Algebra and Trigonometry (6th Edition)
6th Edition
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:Which of the following sets are subspaces of R°?
A. {(x, y, z) | x, y, z > 0}
ОВ. { (8ӕ + 6у, — За — 4у, 5ӕ + 4y) | х, у аrbitrary numbers}
C. {(x, 0,0) | x arbitrary number }
D. {(x, y, z) | x + y+ z = -8}
E. {(7, y, z) | y, z arbitrary numbers }
OF. {(«, y, 2) | х +у+z3D 0}
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