Write the vector form of the general solution of the given system of linear equations. x_1+2x_2-x_3+x_4=0

sjeikdom0 2021-09-18 Answered
Write the vector form of the general solution of the given system of linear equations.
x1+2x2−x3+x4=0
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Expert Answer

Jaylen Fountain
Answered 2021-09-19 Author has 170 answers

[1,2,1,1,0] Write the augmented matrix of the coefficients and constants
[1,2,1,1,0]Transform the matrix in its reduced row echelon form.
x1=-2x2+x3-x4
x2=x2 free
x3=x3 free
x4=x4 free
Determine the general solution
[x1x2x3x4]=x2[2100]+x3[1000]x4[1001]Rewrite the solution in vector form

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