Write the vector form of the general solution of the given system of linear equations. x_1+4x_3-2x_4=0

illusiia 2021-08-09 Answered
Write the vector form of the general solution of the given system of linear equations. x1+4x32x4=0
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SoosteethicU
Answered 2021-08-10 Author has 102 answers
Vasquez
Answered 2021-12-28 Author has 460 answers

Rewrite the corresponding augmented matrix of the system of linear equation

[1042011770231110]

Transform the matrix in its reduced row echelon form

[104200135000000]

Determine the general solution

x1=4x32x4
x2=3x35x4
x3=x3 (free)
x4=x4 (free)

Express the solutions in vector form

[x1x2x3x4]=x3[4310]+x4[2501]

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