18. Which of the following homogeneous systems have a nontrivial solution? (a) x+ y + 2z = 0 2х + у + 2 0 3x – y + z = 0 (b) x - y + z = 0 2х + y 2x – 2y + 2z = 0 = 0 (c) 2x - y + 5z = 0 Зх + 2у- 3г— 0 X - Y+ 4z = 0 %3D
18. Which of the following homogeneous systems have a nontrivial solution? (a) x+ y + 2z = 0 2х + у + 2 0 3x – y + z = 0 (b) x - y + z = 0 2х + y 2x – 2y + 2z = 0 = 0 (c) 2x - y + 5z = 0 Зх + 2у- 3г— 0 X - Y+ 4z = 0 %3D
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,...
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![18. Which of the following homogeneous systems have a
nontrivial solution?
(a) x + y + 2z = 0
2x + y + z = 0
Зх — у + г3 0
x - y + z= 0
2x + y
2x – 2y + 2z = 0
(b)
= 0
(c) 2x - y + 5z = 0
3x + 2y – 3z = 0
X - y+ 4z = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2437cd6d-d356-47be-9f36-bb1d16233559%2F85aed3ca-fb02-4d08-80f2-150d283cd1b1%2Fobgbpab_processed.png&w=3840&q=75)
Transcribed Image Text:18. Which of the following homogeneous systems have a
nontrivial solution?
(a) x + y + 2z = 0
2x + y + z = 0
Зх — у + г3 0
x - y + z= 0
2x + y
2x – 2y + 2z = 0
(b)
= 0
(c) 2x - y + 5z = 0
3x + 2y – 3z = 0
X - y+ 4z = 0
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