5

S Helo [ L 1 onenyeicaFoc tvegde Wi Quettion 1 W HHMAqulmusloneldelemnn 1 U 1 oriy = C0 ponents 1 0 1 0 thethirc ton ther anuneatioa onine pindd$11 1...

Question

S Helo [ L 1 onenyeicaFoc tvegde Wi Quettion 1 W HHMAqulmusloneldelemnn 1 U 1 oriy = C0 ponents 1 0 1 0 thethirc ton ther anuneatioa onine pindd$11 1

S Helo [ L 1 onenyeica Foc tvegde Wi Quettion 1 W HHMAqulmusloneldelemnn 1 U 1 oriy = C0 ponents 1 0 1 0 thethirc ton ther anuneatioa onine pindd$ 1 1 1



Answers

$\mathbf{A}=\left[ \begin{array}{rrr}{1} & {1} & {1} \\ {2} & {1} & {-1} \\ {0} & {-1} & {1}\end{array}\right]$

So here we have a big Five by five Matrix, and luckily, we are going to use software to do the heavy lifting for us. Okay, so this is our given five by five matrix here. Okay? And so we put this into some sort of software that will find Eigen values, and we get that the Agon values are one 11 eye and negative. I okay. And then we put it into, Ah, another algorithm that will give us the vectors. And those are the first time was just one of the top and then zeros. Next one is just a one in the second place. The 3rd 1 is a one in the third place. It is a little bit excited. It's not gonna be an identity and tricks. There's an eye there. And then we also have, um, one and negative. I Okay, so these there are i n vectors. So, um, now we can also get the big x of t from this, and so it's going to be really big. Um, can it gross monster? The matrix here, when minus t plus one have xi squared. He's a t 1/2 xi squared. U t t plus 1/2 t squared either the tea 00 t minus t squared. He didn t one minus t minus t squared either. The tea plus two squared into the tea. Ah, here we would have negative three t minus t squared he to the t can t squared. I don't have t squared e to the t um t plus 1/2 a t squared. He didn t and one plus two t plus 1/2 a t squared times e to the t. Okay. And then we just have this Lessel corner to deal with. And so this is gonna be our co sign of tea. Scientist e negative sign of tea and co sign of tea. Okay. And so then we evaluate the, uh, the X zero. Really lovely thing happens. All their teas go to zeros are signs go to zero. And when you cook it out, we actually get the identity matrix said just ones across the diagonal. And that means ah, that the inverse is also get any matrix. So when we go to calculate, he'd, uh, big a t being equal to this exit. Tee times are in verse at zero since the M percent zero. Is it any matrix? It's just gonna be equal to Exit T. So we already figured that out. There is nothing left to do. And the answer is this big guy here.

We want to solve the friendship equation. Exhibition ski equals the metrics A but employed by AEG circle. First we give the egg and values and the angle vectors of the metrics air. We can get the Eigen values of the metrics eight by putting the metrics here one to minus one. You won one zero minus 11 and we subtract all which is our values. From the diagram of these metrics minus four. My ar minus are. Then we equate the determinant of these new metrics to zero. We can use the third rule the equation. Oh, these determine we have the science convention here. We have lost minus plus. Then we have zero gives zero the first of the secretary minus one and we multiply it by the permanent minus one. And we have the negative sign minus one, then with the booster. While tabloid by it. That determinant of the matrix. Why? Minus are minus one zero one. Me Me excluded this from that sermon. Then we have one minus. Are we have less one minus or what? The blood boil The determinant one minus are Then we have one minus are to zero one minus are as we excluded this, but with the metrics and this old equals zero. Now we continue The first determined of the first metrics will be one minus are minus zero will be one minus, or and the second the tournament off the middle of the second metrics, unless one minus are welcome Blood boy one minus are squid minus zero, which is a woman's are few all equal zero. This gives one. Minus are month of Lloyd boy one plus one minus are squid. This equals zero. Which means that the first good off R r equals one or one minus r squared one minus are all the square plus one equals zero, which means we have all one minus are equals, posted or minus Ali, then our equals one most of minus all. Now we have green solution and complex solution off the Eigen values. We can start by their solution. R equals one. We get the Eggen Victor correspondent with this island value, we can do this, Boy, wouldn't the metrics a which is one minus one 011 zero minus one one and we subtract. Or from that they're gonna minus one year minus month minus one and we want deploy this metrics, boy, the again Victor began. Say you want you too you see and quit this multiplication does you? Now we have the original zeros and we can use in two equations off these metrics of the multiplication of these metrics These metrics against three equations who can use any two of them. For example, we can use the second equation which is the multiplication of the second rule by the victor. We have zero mark about by you one give zero and zero multiplied by you to give zero and one look of blood by you three gives you three equals zero which means you three equals e the can use a 30 question zero about the blood by you one and minus one multiplied by you too. Minus two. You cool plus zero maca buoyed by usually gives you equals zero which means that you to So it was you and we can put you want any value. We can put you one equals one. For example. You want nip? Hey, one equals one. Then there we have the Eigen vector corresponding toe all equals one. We have you equals one gonzo and we go. So the complex Eigen values we said this was at R equals one. We can go toe at our equals. Any off the agent complex Eigen values. For example, one of us Oy. And we do the same. We have the metrics. One tu minus one 011 zero minus one one. And we subtract. Or from the magnum minus one minus. Oy minus one minus Y minus one minus Ali. And we must deploy this metrics by the Egan Director that 123 and equate this multiplication to zero again. He was in off the two equations. We can get the first equation from the first true multiplied by the victim. We have minus oy. Tabloid buys it one plus too much obliged. Buys it toe minus one mark. Blood by the three equals zero. The second equation from the second room of the blood by the victor is you plus zero plus minus. Ali buoyed by. Is it plus? Then three equals you from by booting. Then too equals one from the second equation. Here we can get that. The three it was buying us equals it was all And from the first equation you, But getting sick two equals one and three equals Oy, We can get that one equals two minds I invited by which equals minus one minus. Oy minus one minus two equals minus one minus. Roy. Now we have the Eigen vector corresponding that with complex Eigen. Value is in equals. We have Zidler near. Is that one minus one? Minus toy. We have to. We have put the to a close one and we have to be equal. Soy equals minus one 10 Plus he separated the real value and the the import and the complex sport minus two. We don't have from export Insitu, and we have only completes part of the three Good Lloyd by I. This means that here we have the victory and we have here the victor be. And we remember that the Eigen value equals one plus one minus soy. This means we have all four, which is the real board of equals one and better equals one, which is a coefficient of the complex sport. Now we can get the general solution kicks off the will be three terms. One clear for the real Eikenberry on two terms for the complex again varies. The green one equals C one first constant multiplied by Yeah. Does that party have R equals one? Ito the bar rt What? The bloody boy. The Eiken value, which is one gonzo plus The second term is seafood corresponding toe The complex again values about the blood boy eagles of our all for tea we have going on in science 30 And Vidic was one. What? The blood by a minus one one is you Plus Hey, there's a lot of all 30 cause I nt but the boy boy effectively minus 20 on one. Let's see three tabloid boy e a lot of team All 14 I was lying with that you employed by AM minus one 10 minus e a lot of tea. So in the not tabloid boy me, which is join us toe little one. We can simplify the general solution to be X 50 It was C one The boy by the victor Eat the bar 50 The ones you know plus Second gonna see toe employed by the victor into the world of tea. Sci fi minus is ROrtiz 20 minus toe Either the body 50 cause 90 And in about of peace I Inti and either the world of t resign t plus c three month employed by the victor minus into the about of tea cause I ain t bluff to either the war of t 70 e to the power of T cause I ain t And minus e to the power of t So I mean okay. And this is the final answer. Ah.

Here we have the Matrix A is equal to It's a three month three matrix again. So negative 110 and then 1 to 1 03 native one. So the characteristic equation for this one where this matrix iss negative Lambda cute plus seven Lambda plus six equals zero seven lander for six people too. So we get that Lambda one common to collar three is equal to negative one negative too. And three now for Lambda equals three, we can solve the argon victory equation and we end up getting that diamond record issue equal, Steve times 1/3 4/3 and one. And for Lambda equals negative too. We get you is equal to a T times 1/3 negative 1/3 and one. And for Lambda equals negative one, we get u equals T types in native 10 and one. So the general solution except E can be written as C one times Eat that. Three tea three tea times 1/3 4 3rd 1 plus C. Two times e The native to T times 1/3 native 1/3 1 Thank you. Plus C three times e to the negative teeth comes native 101 So this is our final general station

Okay for this one. We have a is equal to 12 negative. One 011 and zero. Negative 11 So the characteristic equation for this problem is given by negative Lambda Cubed plus three Lambda squared minus four. Lambda plus two is equal to zero. And when we solve this equation, it's a cubic equation. So you will get the three argon values as 11 plus I and one minus. I noticed that these talking visor complex congregants. So now if we have the Lambda equals one, then upon solving the system, eh? Minus I times u equals zero. We will get that use equal t times 100 and for Lambda equals one. Plus I, using a similar process, we end up getting that you sequel to a T times I'm minus two negative I and one no, for Lambda Contra Kit equals one minus I, which is given here. Then that implies that you is equal to it. Turns out that the Egan vectors are also conflicts congregates of each other. So you was simply gonna be equal to a T times negative. I'm minus two guy and one


Similar Solved Questions

5 answers
Problem 10.points} Use double integral polar coordinates t0 find the volumiesphere of radiusthc area of the shaded region: (b) (5 Pointa) Usc double integral to find920 2
Problem 10. points} Use double integral polar coordinates t0 find the volumie sphere of radius thc area of the shaded region: (b) (5 Pointa) Usc double integral to find 920 2...
5 answers
Eigure 5.14 gives FMuT relocity during trip starting from home: Positive !elocities take youawar from home and Dexatjet Wheret houn When Uetocittes takettltnteamdthonn areYou at the end ofthe_ etuu farthest from home? How far aWay are You that time? (kmvhr)t (hours)~10
Eigure 5.14 gives FMuT relocity during trip starting from home: Positive !elocities take youawar from home and Dexatjet Wheret houn When Uetocittes takettltnteamdthonn areYou at the end ofthe_ etuu farthest from home? How far aWay are You that time? (kmvhr) t (hours) ~10...
5 answers
11.) What are the mechanisms and main product for the following series of reactions? (14 points) 1.) Excess CH;l 2.) AgzO, Hzo NHz
11.) What are the mechanisms and main product for the following series of reactions? (14 points) 1.) Excess CH;l 2.) AgzO, Hzo NHz...
4 answers
4 Let % : E? K? be given Iby X(vl;8a) = (01 2021 - Zx1; 33; 1a; (6 point2} Fid the catrix &f %{D} (8 pointz} "jnd bagiz lr kzr and L E:.pointe} Whal ig the rank adl nllity of ?
4 Let % : E? K? be given Iby X(vl;8a) = (01 2021 - Zx1; 33; 1a; (6 point2} Fid the catrix &f % {D} (8 pointz} "jnd bagiz lr kzr and L E:. pointe} Whal ig the rank adl nllity of ?...
4 answers
BONUS Suppose u is a real-valued harmonic function and suppose that is also harmonic function. Prove that u is constant:
BONUS Suppose u is a real-valued harmonic function and suppose that is also harmonic function. Prove that u is constant:...
5 answers
Point) IfA =then111111111111110740740741A-1 =.111111111111112592592593Given b =solve Ax = b.
point) If A = then 11111111111111 0740740741 A-1 = .11111111111111 2592592593 Given b = solve Ax = b....
1 answers
(II) The Earth produces an inwardly directed electric field of magnitude 150 $\mathrm{V} / \mathrm{m}$ near its surface. (a) What is the poten- tial of the Earth's surface relative to $V=0$ at $r=\infty$ ? (b) If the potential of the Earth is chosen to be zero, what is the potential at infinity? (Ignore the fact that positive charge in the ionosphere approximately cancels the Earth's net charge; how would this affect your answer?)
(II) The Earth produces an inwardly directed electric field of magnitude 150 $\mathrm{V} / \mathrm{m}$ near its surface. (a) What is the poten- tial of the Earth's surface relative to $V=0$ at $r=\infty$ ? (b) If the potential of the Earth is chosen to be zero, what is the potential at infinity...
5 answers
Pl? I1 xol? IJ (p 24 ouejd I1 (qKol IJ zx oueId I1 Ax oue[d IJ"aju3inais 0[ ?p oun epea e (9 "Zy "+) ?p cipueisip Cq[ JuqlJ?I?Q
pl? I1 xol? IJ (p 24 ouejd I1 (q Kol IJ zx oueId I1 Ax oue[d IJ "aju3inais 0[ ?p oun epea e (9 "Zy "+) ?p cipueisip Cq[ JuqlJ?I?Q...
5 answers
Homework: Homework #02, Functions Score: 0 of 15 of 46 (13 complete)SaveHWY Score: 22.28%_ 10.25 of 46 ptsR.1.7Quostion HelpGraph the equaton:Ytx=-2Usu Ihe graphing IDpl [o graph Ihe equalion. Click to enlarge graphClick the graph, choosethe palette and follow the instructions create your graph:AlI parts showingClear AIlCheck
Homework: Homework #02, Functions Score: 0 of 15 of 46 (13 complete) Save HWY Score: 22.28%_ 10.25 of 46 pts R.1.7 Quostion Help Graph the equaton: Ytx=-2 Usu Ihe graphing IDpl [o graph Ihe equalion. Click to enlarge graph Click the graph, choose the palette and follow the instructions create your g...
4 answers
Curling players slide stone on sheet of ice toward target area Consider the case of the 20-kg stone starting with speed of 0.6 m/s, sliding on the ice with kinetic friction coefficient between the ice and the stone of 0,5 x 10-, Compute the distance the stone slides on the ice until comes stopA, 37 mB, 28 mc.19mD. 11m0 E 6 m
curling players slide stone on sheet of ice toward target area Consider the case of the 20-kg stone starting with speed of 0.6 m/s, sliding on the ice with kinetic friction coefficient between the ice and the stone of 0,5 x 10-, Compute the distance the stone slides on the ice until comes stop A, 37...
1 answers
Determine whether each pair of equations represents parallel lines. $$\begin{aligned}&y=2 x-5\\&4 x+2 y=9\end{aligned}$$
Determine whether each pair of equations represents parallel lines. $$\begin{aligned}&y=2 x-5\\&4 x+2 y=9\end{aligned}$$...
5 answers
Marks| For vach graph of the original luuction Il) sketch appruximate graph of its dcriztin futk (joh f"(c); below Vicw tl sule of the grich lor the graph ol f as Iing #lu dawing t grph o iLISUM lwnizntal sal of tle' gricl for tt' Atph 0l f [ ulenlical thut for
marks| For vach graph of the original luuction Il) sketch appruximate graph of its dcriztin futk (joh f"(c); below Vicw tl sule of the grich lor the graph ol f as Iing #lu dawing t grph o iLISUM lwnizntal sal of tle' gricl for tt' Atph 0l f [ ulenlical thut for...
5 answers
A. List the location of the aromatic amino acids and theirrelative position to the heme group based on your search in theprotein data bank.b. What do you believe causes the fluorescence intensity toincrease as the concentration of GuHCl increases? HINT: use theinformation you obtained from part a to inform youranswer.
a. List the location of the aromatic amino acids and their relative position to the heme group based on your search in the protein data bank. b. What do you believe causes the fluorescence intensity to increase as the concentration of GuHCl increases? HINT: use the information you obtained from part...
5 answers
Find the derivative ydy of each of the following functions. dxDERIVATIVE84Partla)[3 points]: dt Y = II t M cos t Vogz52Part(b)[7 points]: y tan T
Find the derivative y dy of each of the following functions. dx DERIVATIVE 8 4 Partla)[3 points]: dt Y = II t M cos t Vogz 52 Part(b)[7 points]: y tan T...
4 answers
Round areas and probabilities to 4 positions, z-scores to 2positions. Write CALCULATOR FUNCTION which you use with thenumbers, like normalcdfThe amount of snowfall in a certain mountain range is normallydistributed with a mean of 92 inches and a standard deviation of 16inches. What is the probability that the mean annual snowfallduring 64 randomly chosen years will exceed 94.8 inches?
Round areas and probabilities to 4 positions, z-scores to 2 positions. Write CALCULATOR FUNCTION which you use with the numbers, like normalcdf The amount of snowfall in a certain mountain range is normally distributed with a mean of 92 inches and a standard deviation of 16 inches. What is the prob...
5 answers
Vapourb,82bzL Liquid (P=.1) ba idst Liquid (P = 2)0 a)Composition, X8 ~ p + 2
Vapour b, 82 bz L Liquid (P=.1) ba idst Liquid (P = 2) 0 a) Composition, X8 ~ p + 2...
5 answers
Question 2The reaction between hydrogen gas and nitrogen gas produces ammonia gas according to the Tpe nutnbers in the boxes reaction: Part # 5 Points Part % ports N(g) 3 Hz(g) 2 NHs(9) Jo noirtT Hhat volune ofhydrogen gas is needed to react with 173 Lofnitrogen gas if both gases are at STP?I26.9 L of hydrogen gas reacts with excess nitrogen gas at STP, what volume of ammonia gas will be formed?
Question 2 The reaction between hydrogen gas and nitrogen gas produces ammonia gas according to the Tpe nutnbers in the boxes reaction: Part # 5 Points Part % ports N(g) 3 Hz(g) 2 NHs(9) Jo noirtT Hhat volune ofhydrogen gas is needed to react with 173 Lofnitrogen gas if both gases are at STP? I26.9 ...

-- 0.050281--