Gaussian elimination

dcorner

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Mar 1, 2020
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I'm having issues solving this problem.

1583099759193.png

I know the augmented matrix are

1583099819352.png

Now I have to replace the below.

Capture.PNG
 
Exactly where are you stuck?


1583099819352.png


now replace R1 with (1/2)R1

1.......-1.5 ...................9
3.........1.0...................5

continue.....
 
I'd start with replacing R1 with R2 - R1.

I don't want to confuse. I just want to emphasize that there is NOT just one way to proceed. I like to avoid fractions as long as possible.

Just head for the reduced form however it makes sense to you.
 
I'd start with replacing R1 with R2 - R1.

I don't want to confuse. I just want to emphasize that there is NOT just one way to proceed. I like to avoid fractions as long as possible.

Just head for the reduced form however it makes sense to you.
I 100% agree with you. You do not have to get 1 on the diagonal until the very end. However, it seems that the instructions required that the student do the that way.

I hate these type problems that require students to do a problem a certain way. I do however understand that students need to be able to do these steps
 
I 100% agree with you. You do not have to get 1 on the diagonal until the very end. However, it seems that the instructions required that the student do the that way.

I hate these type problems that require students to do a problem a certain way. I do however understand that students need to be able to do these steps
I've always been a rebel, like that. :)
 
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