5

ZII + (be)[38w(be)DHZ (s)RW8W _ Jo [OU jad *Mopaq UOlenba J41 01 JulpjojjE S paInSEaut JM Je34 JO JUnOute 24Lz* SW Jo SSBUI JIowe pue SSEUt 341 Jsf1[~[OLOO01 = [X [...

Question

ZII + (be)[38w(be)DHZ (s)RW8W _ Jo [OU jad *Mopaq UOlenba J41 01 JulpjojjE S paInSEaut JM Je34 JO JUnOute 24Lz* SW Jo SSBUI JIowe pue SSEUt 341 Jsf1[~[OLOO01 = [X [) Bw ?[otu Iod HV3W sz[OUu O8W JO JIOUI jod HV H[~[OU [[owtnisauaRu Jo S?[OWLnisJuBBl JO SSBWTID (LVSWI HV Jo EST+ QOQOBJI IQ} Jmnlendua] U! J8u84J (-Jo1-T8971 uonnjos pIOE 2uO[YDOpAY Jo uoedej 1BJY Jypoads (Aju_p) uounpos pIJB PHopypoupAy Jo SSBW 7uc3z0T uounpos pIAB 21oj42oJpAy Jo Kusu?d TTSC tOH4n[OS PIJR JHO[ypoJpAy jo JunjoA &#

ZII + (be)[38w (be)DHZ (s)RW 8W _ Jo [OU jad *Mopaq UOlenba J41 01 JulpjojjE S paInSEaut JM Je34 JO JUnOute 24Lz* SW Jo SSBUI JIowe pue SSEUt 341 Jsf1 [~[OL OO01 = [X [) Bw ?[otu Iod HV 3W sz[OUu O8W JO JIOUI jod HV H [~[OU [ [ow tnisauaRu Jo S?[OW LnisJuBBl JO SSBW TID (LVSWI HV Jo EST+ QOQOBJI IQ} Jmnlendua] U! J8u84J (-Jo1-T8971 uonnjos pIOE 2uO[YDOpAY Jo uoedej 1BJY Jypoads (Aju_p) uounpos pIJB PHopypoupAy Jo SSBW 7uc3z0T uounpos pIAB 21oj42oJpAy Jo Kusu?d TTSC tOH4n[OS PIJR JHO[ypoJpAy jo JunjoA '1u33eal Jupul J41 S! unisouaeu '7 Hed UI [HEJ 4! 2S041 0} IB[IUUIS JJB SUO1E,no[BJ JS241 IQJ (831848 241 wnsauacw PWV J14O[4JOJpAH :7 ued 2 usqaqJouJJ4L 1234S suoeinjib)



Answers

Use the Gauss-Jordan method to solve each system ofequations.
$$\begin{aligned} 10.47 x+3.52 y+2.58 z-6.42 w &=218.65 \\ 8.62 x-4.93 y-1.75 z+2.83 w &=157.03 \\ 4.92 x+6.83 y-2.97 z+2.65 w &=462.3 \\ 2.86 x+19.10 y-6.24 z-8.73 w &=398.4 \end{aligned}$$

Okay, So for this problem, we were given the equations. And what I did is I took the coefficients in front of the variables. So this right here is my ex column, my white column, my Z column, and my double you call him. And then, of course, this is what's on the right hand side of the equation. And then, of course, this is each separate equation. So in order to solve these using KAOS Jordan, what I'm going to dio is my first goal is to get the first column only to be 1000 So what I'm gonna do is I'm gonna take my row one, which is what I had earlier. So in this case, I would take 28.6, and I'm gonna divide it by that. So where is an A one? So now this is going to be in my new are Do you roll? What? So what I'm gonna do for the second row is I'm gonna take our one and I'm going to my new one, and I'm gonna multiply it by whatever is in b one and then subtract My are too. So the goal is for that very first value that first call him for that row. It's gonna end up begin zero and you're going to use the same, um, be one value for all of them all the way across. And then we're gonna do the same things. We're gonna take row one, the new one. Multiply it by C one subtract by our three So on and so forth So the next one, our goal is going to be to do 0100 So I'm gonna take my row two and I'm gonna divide by my beach You value so whatever is in this spot of the previous matrix, this is now gonna be in my road to prime. So I'm gonna take my row two prime and I'm gonna multiply it now by a two. Because whatever values here in the previous matrix and an ominous attract Row One and that's going to give me all of this road And, of course, the same thing with all of them. So road to prime times whatever C two is is gonna now memo, subtract my are three all the way across. So then eventually, I'm going to end up getting a matrix that looks like this. So that way it's and then we'll have whatever values here. Okay, so for this one, what I ended up getting for my first row The very, very end. As I got 11.8438 my second value got negative. 1.1535 for my Zeev. Next Viagra Zero or 00.6090 And then finally I got 14.17 So then, since this was my Ex X is going to equal 11.8438 My, why is going to equal negative 1.1535? My Z will be 0.6090 and then my double you wind up being 14.17

So I'm gonna just combine them because I do have the same denominator, so I don't have to do anything else it will be. Don't be a squared minus three W plus six plus nine minus w squared which would becomes of these w squares. Cancel out. And then these combined to 15. So got negative three w plus 15 over W minus five. And then from here, I'm gonna factor out of negative three from the top of modern to get W minus five. You can see how the top bottom cancels out. And the answer to my 1st 1 should actually just b negative three. Same with the 2nd 1 I can already just combine because the top in bar that bottoms are the same. So then I would do choosy. Squared minus C square disease squared. Negative three Z minus negative. Five z gives me to Z six months. Nine gives me negative three. Oliver C. Squared minus one. I'm here. I'm gonna factor both the top and bottom. The bottom is easy. That's just a difference of square. So it's C minus one seat plus one. Um, the top. It looks like it's gonna be easy um, plus three, the minus one. So then the Z minus one on the top and bottom will cancel out, leaving me with C plus three or Z post with.

For this. Well, the war to come. Negative 10 Teoh. Negative fun One morning. One Do go. Jordon grow to use the smallest countries a lot. All right, To let up 11 you get a one negative seven. Thank you. Now that's multiplied before subtracted from row one zero. Negative When you Oh leave. I don't like that. It's attractive from Morrow. There are Hi. Like the top on the next step. What I'm going to do is choose. Then I will divided out scared of the button when you're ready. No one. And that was so that I could divide five Negative five 01 negative on 11 neither one. Well, actually, let's divide it by two and subtracted from our central room. A one you find. Remember we divide zero part of you. What? One negative. You won't. Plus 3/2 for over two on the negative. 5/2. Go on, get over here. And we have two choices of freedom here. Viewed as a four dimensional coordinate. All our solutions have the form Well, given any w given that you see one, you know. How are you three over to W on our why acquired in it on, I mean and all our solutions of this worm given a choice of real number cuisine.

Giving try. Normally it is a square. That's when 23rd w that's 45 w uh, in this question. We need to capitalize that given binomial since the G c f of the tournament fight so it can be eaten as five men prepared by 16 square was 24 w That's mine. The Blue Square the first time and the third term of the paranormal, which is 16 square and nine. The Spark and Britain is four, multiplied by zero to the power and the nine w squared Hamilton its whole sparrow. Www. So use this time to read the destroying normal, which can be represented as five men prepared by. For that goes to the power to 24 that W that's three wh to the power. Now the median time is 24 g W, which can be written as five for that district to the two men prepared by four that when prepared by Www, that's a really powerful We know that the LGBT form love, which is a plan B to the power to the question is where Let's be square. Let's believe he had is Forgeard. Bistrita blew. It can be done, us why is my compared but ordered the Www this development. So this is the highest form of the given final me.


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