Given x₁2x₂ + x3 + 2x₁ = -1 2x14x2+2x3+4x4 1 = -2 -₁ + 2x₂x32x₁ = 1 3x16x2 + 3x3 + 6x4 = -3 i. find the vector form of the general solution of the linear system Az = 6. ii. use the result from (i) to find the vector form of the general solution of Az = 0.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 279E: Explain the steps for solving a system of equations using Cramer’s rule.
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Given
x1
- 2x₂ + x3 + 2x4 = -1
2x₁4x₂+2x3+4x₁ = -2
-₁ + 2x₂x3 2x4 = 1
3x1 · 6x2 + 3x3 +6x4 = -3
i.
find the vector form of the general solution of the linear system Az = 6.
ii. use the result from (i) to find the vector form of the general solution of Az = 0.
Transcribed Image Text:Given x1 - 2x₂ + x3 + 2x4 = -1 2x₁4x₂+2x3+4x₁ = -2 -₁ + 2x₂x3 2x4 = 1 3x1 · 6x2 + 3x3 +6x4 = -3 i. find the vector form of the general solution of the linear system Az = 6. ii. use the result from (i) to find the vector form of the general solution of Az = 0.
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