Write the vector form of the general solution of the given system of linear equations. x_1-x_2-2x_4-x_5+4x_6=0

lwfrgin

lwfrgin

Answered question

2021-08-08

Write the vector form of the general solution of the given system of linear equations. x1x22x4x5+4x6=0

Answer & Explanation

lamanocornudaW

lamanocornudaW

Skilled2021-08-09Added 85 answers

Vector form looks like this:
image

image
Vasquez

Vasquez

Expert2021-12-27Added 669 answers

Rewrite the corresponding augmented matrix of the system of linear equation

[1102140221715011151300013110]

Transform the matrix in its reduced row echelon form

[1102020001301000001200000000]

Determine the general solution

x1=x2+2x42x6

x2=x2(free)

x3=3x4x6

x4=x4(free)

x5=2x6

x6=x6(free)

Express the solutions in vector form

[x1x2x3x4x5x6]=x2[110000]+x4[203100]+x6[201021]

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