Write the vector form of the general solution of the given system of linear equations. x_1-2x_2+x_3+x_4+7x_5=0

Dottie Parra 2021-08-06 Answered
Write the vector form of the general solution of the given system of linear equations. x12x2+x3+x4+7x5=0
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Expert Answer

Benedict
Answered 2021-08-07 Author has 108 answers
Vasquez
Answered 2021-12-28 Author has 460 answers

Rewrite the corresponding augmented matrix of the system of linear equation

[1211701220100240480]

Transform the matrix in its reduced row echelon form

[120240001130000000]

Determine the general solution

x1=2x22x44x5
x2=x2 (free)
x3=x43x5
x4=x4
x5=x5 (free)

Express the solutions in vector form

[x1x2x3x4x5]=x2[21000]+x4[20110]+x5[40301]

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