The reduced row echelon form of the augmented matrix of a system of linear equations...

Jaya Legge

Jaya Legge

Answered

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

Expert

2021-01-17Added 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.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?