Determine if the system has a nontrivial solution. Try to use as few row operations as possible. 2x₂ + 6x3 3x2 X₁ + 3x₂ + X₁ − 4x₁ + - 15x3 = 0 8x = 0 Choose the correct answer below. OA. The system has a nontrivial solution. B. The system has only a trivial solution. OC. It is impossible to determine.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.4: Elimination Using Multiplication
Problem 12PPS
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Determine if the system has a nontrivial solution. Try to use as few row operations as possible.
2x₂ + 6x3 = 0
3x2
15x3 = 0
X₁ + 3x₂ +
8x = 0
X₁
- 4x₁ +
-
Choose the correct answer below.
O A. The system has a nontrivial solution.
B. The system has only a trivial solution.
OC. It is impossible to determine.
Transcribed Image Text:Determine if the system has a nontrivial solution. Try to use as few row operations as possible. 2x₂ + 6x3 = 0 3x2 15x3 = 0 X₁ + 3x₂ + 8x = 0 X₁ - 4x₁ + - Choose the correct answer below. O A. The system has a nontrivial solution. B. The system has only a trivial solution. OC. It is impossible to determine.
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