Find the general solution of the simple homogeneous "system" below, which consists of a single linear equation. Give your answer as a linear combination of vectors. Let x₂ and x3 be free variables. 4x116x2 + 12x3 = 0 O A. O C. X₁ X2 =X₂ X3 (with X₂, X3 free) 3 H X₁ 4 - 3 BHOHO = x₂ 0 +X3 1 1 (with X2, X3 free) X3 0 *** O B. 4 3 BH BH: X2 =X₂ 1 + X3 1 X3 (with X₂, X3 free) O D. X₁ X₁ X₁ CHE X₂ = 4 X₂ +3 X₂ X3 X3 X3 (with X2, X3 free)

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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Question
Find the general solution of the simple homogeneous "system" below, which consists of a single linear equation. Give your answer as a linear combination of vectors. Let x2 and x3
be free variables.
4x1-16x₂ + 12x3 = 0
X₁
X2
=x₂
“EHOHO
X3
(with X2, X3 free)
O A.
O C.
X₁
X2
=X₂
4
0
1
X3
(with X2, X3 free)
+ X3
- 3
0
C
X₂
THI
X2
1
= x₂ +X3 0
0
X3
(with X₂, X3 free)
O B.
O D.
X₁
X2
X₁
= 4 X2 +3 X₂
X3
X3
X3
(with X2, X3 free)
-3
X₁
1
Transcribed Image Text:Find the general solution of the simple homogeneous "system" below, which consists of a single linear equation. Give your answer as a linear combination of vectors. Let x2 and x3 be free variables. 4x1-16x₂ + 12x3 = 0 X₁ X2 =x₂ “EHOHO X3 (with X2, X3 free) O A. O C. X₁ X2 =X₂ 4 0 1 X3 (with X2, X3 free) + X3 - 3 0 C X₂ THI X2 1 = x₂ +X3 0 0 X3 (with X₂, X3 free) O B. O D. X₁ X2 X₁ = 4 X2 +3 X₂ X3 X3 X3 (with X2, X3 free) -3 X₁ 1
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