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1. Let D = [17 4 If D is the coellicient matrix of homogeneous system of linear eqjuations, write dowu this system. (Set up only; YOu don have t0 solve it.) (4 pint...

Question

1. Let D = [17 4 If D is the coellicient matrix of homogeneous system of linear eqjuations, write dowu this system. (Set up only; YOu don have t0 solve it.) (4 pints) (b) If D is the augmented matrix o system of linear eqquations, write down this system_ (Set "p only; YOn dlon hnve to Solve it. ) ponts) Uxing; thc Causs-Jordlan Med Hcl: Solve the System of equations tlat YO S "p in question #I(). (4 points) Solve tle SyStom ol cqquations that you Sol "p in question #1(6). points)

1. Let D = [17 4 If D is the coellicient matrix of homogeneous system of linear eqjuations, write dowu this system. (Set up only; YOu don have t0 solve it.) (4 pints) (b) If D is the augmented matrix o system of linear eqquations, write down this system_ (Set "p only; YOn dlon hnve to Solve it. ) ponts) Uxing; thc Causs-Jordlan Med Hcl: Solve the System of equations tlat YO S "p in question #I(). (4 points) Solve tle SyStom ol cqquations that you Sol "p in question #1(6). points)



Answers

Solve each system by triangularizing the augmented matrix and using back-substitution. If the system is linearly dependent, give the solution in terms of a parameter. If the system has coincident dependence, answer in set notation as in Chapter 5. $$\left\{\begin{aligned} -2 x+4 y-3 z &=4 \\ 5 x-6 y+7 z &=-12 \\ x+2 y+z &=-4 \end{aligned}\right.$$

Did you know? Question number 45. Your first by water. And be one we need to intercept first and third. You're right. I want to change our tree. Yeah, My detained row at first place. They want to one minus form your second. Roy's further. These no defense Tral. But we want to make cereal at here. So probation is our to minus Phi. I am sorry. One and for the same tree. Forward probation. Ease our three births to water. Wine. Last Roy's Reduce your second Royce zero minus 16. Too late. Then determine Rois zero a minus one in minus pork. Right now. Interesting. Second and told. But you're right. Off who interchange our tree. More Fourth, Ruiz early dudes. All right, the tundra at second less. All right, the second right for this. Now we want to make zero at your sewer. Oh, patients will be our three minus sometimes. Sorry. Plus two times are too for your first and second rows are as it is. You're 16 minus 16 0 to minus 20 and eight mile estate cereal. Right now. Problem does a control. You can write immigration that he's eight minus story a dry. My inside is it will do for right. So you're eight wise equal dreams that minus four for your eyes equal to one by eight sec minus one by two. Now from this pastoral weekend, right, Your X plus two y no, I said is a core do minus four. No subject takes in this aggression. No, but the real you Why studies one by a that minus one by do to my eight that he's one my fault. And here to Monte family one by crudities one your negative for less one. There is a snag getting through and your negatives a minus one by for that that is negative by by floors that and there is no way I would NT eight The third column so we are said, is our free variable. So Tuesday perimeter T for said right So dinner solution snag 83 negative five by 40 Your eyes were won by 80 minus one by dude. And that is important D Thank you

In this video, we're gonna go through the answer to question number 11 from chapter 9.5. So asked to find the general solution of the system. Ex Prime is is equal to X for the Matrix given by a Yeah. So first, let's find the Eiken values me to find the corresponding island backers. And then we can work out what the German solutions off the system of equations is. Let's find the item values. Let's find the determinant off the matrix. A minus times insta matrix. I says the matrix minus one minus R 3/4 minus five three minutes Are That's gonna be equal. Thio one course. Uh, times by a minus three. I've just taken the AA minus one for the first bucket into the second bracket. Minus minus five times to be over four. That's 15. It was all so that's gonna be equal. T squared minus three aa plus, uh, minus two are minus three plus 15 over four minus three is minus 12 hour before course 50. No, before is three or four. Okay, then we can fact arise this two aa minus, huh? And, uh, minus to be over too. So If we said that equals zero, then yeah, good values are is equal to half on. Dhe obviously goes with three of it. There are values next door when it's fine that I come back to us, says Rita. Let's first find the island back to Christ. Wanted to involve you. Uh, so, Amos half I it's minus three of it too. Three or four minus five. Three minus 1/2 is fight over to you because by you won't what? Zero. Okay, so if we let you want the currency, you won't be X y that first row tells us back. Modest three over two. Thanks. Close three over four. Why equals zero? So therefore, why is equal to? Well, goodbye, all by three. Then it's gonna be y is equal to for over two ex, which is just two thanks. Effects equal to one that to that Sorry that y is equal to two. Next up the Eiken vector for I can value as he was three over two. So minus one minus three over two. It's minus five every day. Three of a four minus five than three minus three. Opportunity is just to be over too okay. Again letting you won. I have components. Sex. And why then, minus five over two times X close, Clear before why equals zero. Therefore, why will be equal to okay? What's gonna be five over too? X times by for over three. So what's this? It's gonna be 20. Ah, let's go to 10 over three times X. Okay, so why is 10 over three of X? So relax. Be re then why is gonna be tough? So that's, uh, second Aiken vector. Okay, so now those to you I am vectors linearly independent. So we know that the jealously shin gonna be X dysfunctional T It's gonna be okay. A constant c one size by eats the half t hard being our first I blow you times by the item back Their course one is that I can value, which was one two plus say a second constant times e to the second. I can value t times by the second night connector, which was three. That's not a solution

This is a question of maturity. Seven. Your first by what entries would be once we need to divide room one by for So here on one do eight by Fuller. You know, for my foreign Want negative eight by forest. Negative to add my voice to and 24 by for in 86 second and third row Saar and ladies. Now they want to make cereal at here. So our oppression is our to minus two are one. And for the sentry, Prohibition is on three minus three. Everyone, your mysteries at the DEA's, you're secondaries. Judo minus two minus. Want anyone? And it's ordinary. 0 10 minus. They went in minus 29. Now we want to make zero and the sentry. So our operation is our three plus by times are one. So been here. First and second rows are ladies and detailed Release two years, zero, You know, getting prayer and negative before, right. So from the toddler, we can right here negative, very liquid to negative 24. And that gives That is equally do to right now from the second row here, we can write integrity to why negatives that is equal to one. So here we can write. Negative. So why is it will conduct bless one. Therefore Winik with negative big negative one. But he, uh that is according So you're right. It was negating to my do, right? No. From the first row, we can write your X minus two y plus two dead in the courtroom. Six So x is according to my minus through the last six. You're wise equal to negative three by two. And here's that Egypt will do too. So exit equal to negative three, never. 84 legs makes therefore exceeded quality minus one. They're controversial. Duchovny's mating warn Maybe you two by two. Thank you. Thank you.

This is a question Number 41 now Door deflection. We need to multiply euro two by two. Right here. You know, to my deep night do for your first entry. Sorry, First Roy's has the deuce. Now, your three year two by two. That is making for here, too. And here, nobody to. You're Conroy's allergies. Now they want to make zero and get here. Oppression is too minus one. And following this injury or probation is our three Les two times. Everyone. Were you ever? Two immunity for two. Your return limited to No, we're three minus trees. You know, more minus for is you know, tu minus to receive a and do minus two me seal. You're six minus 608 to minus a judo for my next 40 And all of my nest will reseal. Right. But you can say there is no my would entry at the second and told column. So the system is coincident dependence on the solution. Said this during bright x y that where three x negative for why Class two. That is a core dude. Minus true. You're right. And that can be 10 years ago. Number. Thank you


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