Question
Consider the following system (A graphing calculator recommended. Jxz 3X1 Compute the first four Gauss-Seidel iterations for the system a5 written_ with the initial value of each variable set equal toRewrite the system so that it is diagonally dominant 3x1 3X2 3x2 X1 3X2 X1 3xz 3x1 Xz 3x1 3X2 Xz 3x1 Xz 3x1Using the diagonally dominant system, set the value of cach variable to and compute four Gauss-Seidel iterations (Round your answers to four decimal places. )
Consider the following system (A graphing calculator recommended. Jxz 3X1 Compute the first four Gauss-Seidel iterations for the system a5 written_ with the initial value of each variable set equal to Rewrite the system so that it is diagonally dominant 3x1 3X2 3x2 X1 3X2 X1 3xz 3x1 Xz 3x1 3X2 Xz 3x1 Xz 3x1 Using the diagonally dominant system, set the value of cach variable to and compute four Gauss-Seidel iterations (Round your answers to four decimal places. )


Answers
Use row operations on an augmented matrix to solve each system of equations. Round to nearest thousandth when appropriate. $$\begin{aligned} 3 x-y+2 z &=1 \\ x+y-z &=-4 \\ -3 x+y+3 z &=4 \end{aligned}$$
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Of money creation here. First unity find on him into matrix. We know, Defector, be just to one minus one. We would have reduced augment me tricks and it's finding right solutions. All right, audience metrics. Moving out a coefficient matrix. We just almost all the coefficients in the entries a and then augment Director be which is to one money. Now we Whenever we do e the matrix. The first immunity swamped the first two rows. Next, I'm gonna know supply first move on minus three. So my street everyone puts into So I get here. Zero minus three times minus two is my six minus. Choose mine minus three times my to six +17 minus three times one minus three. Talk to minus one. Did I get Also multiply my one by one. Added to rule three here. Zero mice to mice for it gives me my six and to plus two kids before and here have mice one trust minus one wishes money to little three rate matrix down here one to minus two one 0187 Vice one 06 for my sister. Next I can divide it. The second growth by minus eight Someone this pivot decision to be one. Can we divide by negative eight? So that was one of eight times or two. Next I can multiply Row two by six The two time zero to added to grow three. So what do I get? I get here because zero and in two times my 7/8. This month. 14 8 So for so I get my 14 plus 30 que. That's my 18. Next, we have two of eight. Tough in my institute. One to my 16. 14 G minus 16. 14. Me and my 14 executive ameliorate this matrix though I didn't want Teoh minus one. I want my seven one of the 17 or eight. One of eight 00 18 read and minus 48. Next thing going to do the skill. The loss rode by each 80. It's because of one that have minus 14. Okay, eight times eat. We're eating my it's 14. Were you a mistake? Schoolbag If you actually be So let's get back Teoh this matrix But the top here So it actually do with this. So we created the Matrix one to money to one 087 months. One zero my six for my to what's not apply If you have money. 811 supplied by six over and my eight. Then you get my to cancel. And then if you go to the third rail, this becomes zero. If I do six minus six over eight times Rotarian addict roping It would solve this. So what is that? My six words? Eight times seven. So that's my 35. My 42 years eight plus four, which gives us minus 42 plus three. Two. We're a to my turn over eight. Never have 68 plus y two. So I get I think my 16 for eight is equal to minus 10 of eight now. Do you scale the loss rule? Dividing by minus eight. Again 12 Money to one Euro mice 87 mice one 00 one. Now, with this second condition to get you goto 17 to divide the second row. My my eight. Next second. Multiply the loss room by seven or eight An addict First consecutive begin to zero and 78 1 of the eight is a difference of one American boat. Supply it two Times Road three. Not a real one. This becomes zero. We have two times. One is two plus one is three. And then find the gate. No, looking like this. We get 1203011 0011 Now I can vote. Plight minus two wrote here one gotta have money to plus three, which is one. So they end up getting absolution. Set getting. Actually, it was one. Why was one? And he was one search solution. Set accidents just 111
Well, everyone, When this person this week presents are given the oversold it do you any question by converting first it into or the one dead metrics? So if you can work, then you can What else? Yeah, who very built are there so supplemented will be dead. So if the right here, then your export potential of your arrival person. So here exp represented three white represented minus two here extra percent three by presented one and near constant. I'm seldom that is four minus two. No, I'm doing or prison for our True that there are two minus our one. If I do, then you know about that again. This very same minus two. Well, here zero on your are here three on a year on year is for only And here I'll get minus sees. No, I'm a playing or person for our one that is are one place to go by three Are you So what are you here are you will be same only zero the on minus six and on one I'll get are one place Kobe three R tau so dear. And go through by 30 on this blustery. Do not get near three next year, bringing people rightly that this group to plus minus to derive revenue. Yeah, my last six in tow by three. That did minus four. Minus four plus four year zero. No, no. What will give you the export of the Royal here? Exit called Oh, dear. Oh, Similarly, here also, anywhere you could well get minus six. It makes why Bordeaux minus school. So these are the on Thank you.