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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
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,...
icon
Related questions
Question
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}|
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education