9x9 matrix using gaussse-jordan method

@maria-flor-8cAkif • Oct 26, 2024

Oct 26, 2024

2.2K

It is assignment given to us by our instructor and I still don't know what's the answer.
Find the inverse matrix using gaussse-jordan method.
A=
1 3 2 4 5 2 1 0 1
0 2 3 4 2 1 1 1 1
-2 2 4 4 3 -2 2 2 1
3 3 3 3 1 1 0 0 0
4 2 -3 4 2 2 1 0 0
5 -2 0 0 1 0 0 0 1
6 -2 2 1 1 1 0 0 1
7 2 2 2 -2 1 0 1 2
8 -3 2 1 1 1 1 1 -2
Attach your solution

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eternalthinker

@eternalthinker-Kvsi5Y • Jan 24, 2011

Re: 9x9 matrix

Was it a programming assignment (C for instance) ?
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Reya

@reya-SMihdC • Jan 24, 2011

Re: 9x9 matrix

@ET: It is not a programming assignment.Gauss-Jordan method comes in Numerical method subject!

@Maria: Did you try something??What answer you got??
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nikeace003

@nikeace003-Oy1Bsa • Jan 24, 2011

Re: 9x9 matrix

nice flor..hahaha..can we use elimination method.?
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silverscorpion

@silverscorpion-iJKtdQ • Jan 24, 2011

Well, what have you got so far and where are you stuck?

Gauss Jordan elimination is pretty easy, if I remember right..

Just write 2 9X9 matrices side by side, and perform row or column operations on both sides so that, the original matrix becomes a diagonal matrix.

Then, the other matrix will give you the inverse..
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maria flor

@maria-flor-8cAkif • Jan 25, 2011

I'm almost at fifth page of the solution to the problem...still working on it.... I'll show the solution maybe tomorrow...
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eternalthinker

@eternalthinker-Kvsi5Y • Jan 25, 2011

Is this the answer: 😕

0.04 -0.18 0.05 0.04 0.02 0.02 0.01 0.06 0.03
0.22 -0.31 0.05 0.04 -0.04 -0.08 -0.19 0.18 0.03
0.1 -0.33 0.15 -0.02 -0.05 -0.57 0.52 0.05 -0.02
-0.47 0.54 -0.06 0.32 0.18 0.33 -0.01 -0.29 -0.12
0.09 0.55 -0.26 0.18 -0.22 1.11 -0.96 -0.14 0.12
0.23 0.3 -0.28 -0.31 -0.1 -0.21 -0.05 0.13 0.12
0.93 -3.46 1.5 -1.34 0.76 -4.74 3.95 0.69 -0.22
-0.35 2.77 -1.12 0.33 -0.74 3.62 -3.64 -0.08 0.55
0.15 -0.25 0.14 -0.32 0.04 -0.34 0.51 0.18 -0.21
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maria flor

@maria-flor-8cAkif • Jan 25, 2011

@et: check it by multiplying your answer you got to the given problem. If the product you got will be an identity matrix...then you got the correct answer..
You're really fast.. I spent almost two nights of solving it but still got the wrong answer!!! You're awesome!!
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maria flor

@maria-flor-8cAkif • Jan 28, 2011

find the value of: m,n,p,q,r,s,and t using gauss-jordan method... pls. show your solution
here are the 7 equations:
2m-2n+4p-7q+r+2t=24
3m+2n+8q-3s=17
3n-p+8r+5t=80
m+5p-4q-2r+s-2t=12
2m+4n+2q-3s=12
m+3q+2s-4t=-11
2n-3p-q=-13
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maria flor

@maria-flor-8cAkif • Jan 28, 2011

hey ET can you show me your solution about the 9x9 matrix???
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eternalthinker

@eternalthinker-Kvsi5Y • Jan 28, 2011

Hey, I shan't take the credit for it. I just wrote some code to find the inverse. The computer did the work 😉
Only meant to provide you the final result!
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maria flor

@maria-flor-8cAkif • Jan 28, 2011

Oh I see. I thought you were the one who solve it.
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ISHAN TOPRE

@ishan-nohePN • Jan 30, 2011

Hey Maria flor is it a complete matrix of 8 rows(Horizontal) and 9 columns(Vertical)?
And what do you exactly want to do with it when you say 'solve'?
Tell me I will definitely solve it.
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maria flor

@maria-flor-8cAkif • Jan 30, 2011

It is a 9 rows and 9 columns, try to count it. Et never gave any solution and I really need the solution regarding bout 9x9 matrix. I want to practice in solving more than 9x9 matrix and the solution will be my guide.
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ISHAN TOPRE

@ishan-nohePN • Jan 31, 2011

Hey Maria flor,I haven't solved it but it is actually simple but lengthy.
I can tell you how to solve it by Gausse jordan method....
A=A inverse

IA inverse=A*I

now solve to reduce A to get an Identity matrix
Hence you will get A inverse..
Still problem? Refer book for GJ method or google search...😀
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maria flor

@maria-flor-8cAkif • Jan 31, 2011

I already know the answer. I tried to solve it but still didn't got the answer. I want to have solution regarding bout this, to be able to know where I made a mistake.... How about the other problem???
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nikeace003

@nikeace003-Oy1Bsa • Feb 1, 2011

this was already solved, i guess..anyone still working on this?
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