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Question

%8vi 0" @ 028 {hjvGve]- GHVNv?H sTuJ Ie 4ex(WirultFuGJLrli4Yuumano

%8vi 0" @ 028 {hjvGve]- GHVNv?H sTuJ Ie 4ex( WirultFuG JLrli 4Yu umano



Answers

Subtract $252,631-47,882$ A. $204,749$ B. $215,859$ C. $204,947$ D. $215,895$

So 32 8 cancel answer for. And we know that when we have wives the fifth over, why squared? It's kind of like doing this, and we can cancel out the ones that are the same on the top and bottom. So we're left with wide to the third. We also know that that works, because all we're doing is taking the excellent values and subtracting them. So 502 is three. So then 60 and five cancel out to 12. And again, if I subtract the 10 of the seven, I get right to the third, at which point you should notice that the expletive values are the same, and so we could just subtract the coefficients to get

He was started with low class, transforming this equation on both sides. So we have s word sounds woman's or I since one once plus by war equals two g. So we divide wipe gm come eight h equals to whatever g, which is one over a squared plus two a square US Minister squared plus one. So hand over age, it's the loveliest members of ah, Capital H, which is people's to sign. T comes into the two tea. So here we applied. Ah, the translation theory is translated by two. And now we're gonna find the solutions a white cape teak responding to the issue about the problems with the homogeneous equation. Mm. So this is what we have. We have, like, 00 What? Deploying zero is one. So again, the characteristic equation for, like, a R squared minus four plus Freud as two routes the O. R plus minus Irish back to be still over. Why H people not in this equation solution will be equal to T. M. C one Torsten T C to c t plugging these two initial condition here, we're gonna have C 10 and see to his one. So that's what we have. So now we have this solution we have. We're in the ad mock. We have Web T equals two age composite with G. So I kept you here. Will be equals two into the Tutsi Tons society. That's it.

In this video, we're gonna go through the answer to question number five from chapter 9.5 were asked to find the values and I can vectors off the matrix A So first find I'm values. Let's find Determine off the vector. Sorry of the matrix. A minus I This is they made at the determinant off bomb minus R zero. They were zero minus, uh, two 02 minus, huh? So expanded over the top row. We've got one minus our sides by the territory, Right, two by two matrix, Which is Ah, squares minus four. So if we set that equal to Zoomer on and by the bracket on the left is equal zero, which gives us, uh, is equal to one or the back on the right sequence zero, which is Either I was equal to minus two or two. So there I am values for this matrix. Find corresponding Aiken vectors. That's first. Look at the Eiken vector. Corresponding. Talking about you one. So we've got a minus one times didn't see matrix times. What? We're going to find the Eiken vector you want. This is gonna be a zero 00 too restricting Born from the leading Dagenham zero minus one, two zero, two Minds well, times you want is equal to savor. So from this, we can easily see that the second or third components gonna be zero. Because they're the only values of the second component of you one and such that these guys both satisfied on that leaves us with just an arbitrary value for the first component. So we can just set it up. Next, the Eiken vector associated with the hidden value. Yeah, I was equal to minus two. So got a month's arse. That's a plus. Two times the identity matrix. I times you on equal saver. So it's gonna be 30 There are 0 to 2 02 two you won't is equal to zero. Therefore you want could be equal to Well, the first component is easy because it's just three because this first row with the Matrix tells us that three times with the component of you is equal to zero. Therefore, that's important. Speaking today right on both of these to tell us that the second circle bonus just the next reach of that. So we set the meet. I want to be people to one, then the Bob. So that's our second dragon vector. Our third I come back to disassociated. The value are people too, so that Ah a minus Thio I is equal to zero. It was that should be a yuan in there. This implies that minus one zero They were zero minus one too. Zero two minus one. What time do you want the Xaver? Excuse me? This middle one should be minus two and they should be minus two as well. Because the Eiken vector. That's because the Eiken value is to therefore you want Thea Aiken. Vector is gonna pay. What? The first component CT. So determined It's just gonna be zero. That servant from the equation from this, uh, from this world matrix on these rows of the Matrix tell us that the second and third components off the item vector the same as each other. So we set the middle. Wanted one, but the bottom or phone and that's on file.

To multiply these. We start with the four and multiply by the three and we get 12 and we carry the one. Now we multiply the floor by the to and get eight and add that. Want to get nine? It's been a zero placeholder below the to and now let's start with the three on the bottom. So three times the 1st 3 up top there three countries nine and then three times the two up top would be six. We add these together we get to nine plus nine is 18 carry the one in six plus 1 to 7 because the death tolls were moved in once in twice here. So two times total. We move the decimal twice in from the end of the two there to 7.82.


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