1. Consider the following system of linear equations. X1 – 2x2 – x3 – 4x4 = 1 2.x1 4.x2 + 3x3 + 7x4 = 7 -2.x1 + 4x2 + x3 + 5x4 = -3 (a) Find the solution set of the above system and write it in set notation. (b) Write the general solution as the sum of a particular solution and a vector in N(A), where A is the coefficient matrix of the above system.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 54E
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1.
Consider the following system of linear equations.
Xị – 2x2 – x3 – 4x4 = 1
2.x1
4.x2 + 3.x3 + 7x4 = 7
-2x1 + 4x2 + x3 + 5x4 = -3
(a) Find the solution set of the above system and write it in set notation.
(b) Write the general solution as the sum of a particular solution and a vector in N(A),
where A is the coefficient matrix of the above system.
Transcribed Image Text:1. Consider the following system of linear equations. Xị – 2x2 – x3 – 4x4 = 1 2.x1 4.x2 + 3.x3 + 7x4 = 7 -2x1 + 4x2 + x3 + 5x4 = -3 (a) Find the solution set of the above system and write it in set notation. (b) Write the general solution as the sum of a particular solution and a vector in N(A), where A is the coefficient matrix of the above system.
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