The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system

Jaya Legge

Jaya Legge

Answered question

2021-01-16

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution. Write the solution in vector form. [101390125800000]

Answer & Explanation

Latisha Oneil

Latisha Oneil

Skilled2021-01-17Added 100 answers

x1s3+3x4=9
x2+2x35x4=8
0=0 The augmented matrix does not contain a row in which the only nonzero entry appears in the last column. Therefore, this system of equations must be consistent. Convert the augmented matrix into a system of equations. x1=9+x33x4
x2=82x3+5x4
x3,ee
x4,ee Solve for the leading entry for each individual equation. Determine the free variables, if any. x1=9+s3t
x2=82s+5t
x3=s
x4=t Parameterize the free variables. x=[9800]+s[1210]+t[3501] And write the solution in vector form.

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