Row Echelon Form and Gaussian Elimination

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xngtvey

Mathematics

Description

Three questions, two are multiple choice. Which of the following systems is in row-echelon form; Use Gaussian elimination to write the system of equations given below in row-echelon form; When using Gaussian elimination to solve a system of linear equations, explain how you can recognize that the system has no solution. Give an example that illustrates your answer.

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Which of the following systems is in row-echelon form? A B C D Use Gaussian elimination to write the system of equations given below in row-echelon form. A B C D When using Gaussian elimination to solve a system of linear equations, explain how you can recognize that the system has no solution. Give an example that illustrates your answer.
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Explanation & Answer

Here is my answer :)

Which of the following systems is in row-echelon form?

A
B
C
D

Use Gaussian elimination to write the system of equations given below
in row-echelon form.

A
B
C
D

(

)

We divide first row by two
(

)

We subtract two times the first row to the second row. Also we subtract 4 times the first row to the
third one.

(

)

Now we divide second row by 8
(

)

We add row three to ten times row 2
(

)

(

)

We multiply row three by -4/29

When...


Anonymous
Just what I was looking for! Super helpful.

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