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Question

AyETES4TouKELHEIKeoiuTc1o 11P065an @reetosrherobe danue Am [tt Fcnna Lumenl CraFonerha etmtaVAL ma Cehnetne egmect UIka ~ (en | raroerd doan huttetrinene (iee Tabe |,for crprot-iate €onetarta ) Mhet @ethe & MareraeIn Eloedl ETetuti [tnten IRa notinaEeetltt

AyETES 4TouKELHEI KeoiuT c1o 11P065 an @reetosrherobe danue Am [tt Fcnna Lumenl CraFonerha etmtaVAL ma Cehnetne egmect UIka ~ (en | raroerd doan huttetrinene (iee Tabe |,for crprot-iate €onetarta ) Mhet @ethe & MareraeIn Eloedl ETetuti [tnten IRa notina Eeetltt



Answers

(A) $\mathrm{M}^{0} \mathrm{~L}^{-1} \mathrm{~T}^{-1}$ (B) $\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{-1}$ (C) $\mathrm{M}^{0} \mathrm{~L}^{2} \mathrm{~T}^{-2}$ (D) $\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{0}$

In this video, we're gonna go through the answer to question number 19 from chapter 9.3 to rush to find the inverse matrix off F S R E O X, which is a matrix as a function of time given here. First, let's recall that inverse off a product major sees a B is equal to the inverse off B plans by the invested a sharing all of the investors exists. So let's think about how we can write this in a slightly different way. So we kind of want toe, not have to worry about all the u to the t You need to mine it easy to tease. So let's just write the coefficients first 14 and then you see that all the first row almost quite by eating Timmy on the second row E to the minus t you know, 30 points to t so we can turns up by e to the t zeroes ever in the second row zero e to the minus t zero and 3rd 1 00 each of the two teams. Okay, let's call this one a on. Let's call, this one will be, Then we can use this formula to find the total invest. Okay, so first up, let's find inverse off, eh? Let's do it in the usual reduction way. So what we got 111 one minus one. See? You want one? Combine that with the identity. 100010 There. Is there a woman? Okay, we're reducing. Let's subtract the first row from the bottom room. That gives us 00 three minus 101 less. Attract the first road from the second road zero minus 21 Uh, then screw reminds 110 leave in the first row is it is one warning zeros era. Okay, so try it times in the bottom row by 1/3. We got 001 minus 1/3 zero 1/3. Get me. Okay, then this new bomb row, we can subtract that from the 1st 2nd most. So from the first room gonna be 10 because I want one. That one minus one is zero. It's gonna be one minus a bird. Sorry. One minus minus. A bird, which is one plus a bird, which is 4/3 zero minus 00 zero minus 1/3 as much bird. Then subtract the new bottom row from the middle road is your, uh, minus two zero minus one minus minus 30 miles. Off course, a bird which is minus two birds one minus zero is just 10 minus. The third is my herd. Okay, so bottom row stays the same. 001 Mines third, zero third. Let's multiply the middle Robot minds heart to get 010 Ah, my hard times minus 2/3 is 1/3 then one times minus half is mine minus half minus. 1/3 is 16 Then let's do the top road minus this new middle road. Then we're gonna get the matrix on at the identity matrix on the left for the 4/3 minus. Good. This one zero minus 1/2. It's okay. Zero minus minus 1/2. It's 1/2 on minus. 1/3 minus suit is minus 36 Which is my heart. Okay, so this is our inverse off the function called a Now it's fine. In burst off. I actually called bay. So be waas. Eat the tea. 00 zero. It's the minus t zero. Is there? Uh, zero. He said to take the inverse of this. This is really easy. Um, because when you got a non zero elements in the leading diagonal on and it's just the reciprocal off those beating darknet values on the rest is all zero. So eat the minus t 000 e to the T they were zero zero. Eat some honesty. Sorry. He's the mind to t expended in verse off X, which is inverse off. Maybe. Which is? They invest a inverse, which is, if the modesty 00 zero e to the T 000 into my studio tea. That's our invested. Be invested a waas one, huh? Minus off that, But it's hot. Six minds of the zero Third. Then when we we'll find them together, it's question, but we got E to the minus. See, huh? Modesty minus ah, the money's team. Bird eats the tea. Mine's 1/2. It's the mind. Yeah, it's the team. Six. It's the team, but Murray get minus. 1/3 eats the minus Tootie zero on the third eats the mind stated, and that's I invest

Question is which of the following is not a crime try and receive is represented by that molecules that have actually get so we can observe that he'll start strong feeling and so it will be good to have and industrial. So first option is BDCL four who minus. So it will be, it always Bs people have palladium and platinum is always so people have read so correct on duty.

In this video, we're gonna go through the solution. Thio question first to chapter 5.4. We asked to find just the form off the particular solution to the following different equation. You know, I still actually find what the secret solution is. Well, they're just full of it. So first we look at the genius part and it would help if we write this in a slightly different way by taking out a factor off e to the two tea that leaves us with one last ti course. See square. So now we have a on exponential part on a polynomial part, as that motivates a form, uh, follows. So we want a an exponential part with and to t because we already have the bot in the in her in her genie genius term. And we want a general second order polynomial. So a one cause eight Sorry. 88 0 was a one Time T plus hey to times t squared. There's nobody going any higher order in porno Meo because all those trophies zero and one final thing we need to track is the roots of the auxiliary equation. Because if the roots, if it is a room off, too. And that will mean that we need to change the form somewhat. So the exhibit equation is R squared minus one equal to zero, which has solutions are equals plus a minus war, neither of which are equal to two. So therefore we're happy with this form for ah particular.

In this problem did yet then it happened something like this. CS three CH 2 C 00 quiet In presence of Sierra two. They fast for us at media reaction will take place and product for me. CS three CS SEAL c o H on further reaction with alcoholic a witch. It will give final product ID C. H to the well born c h c cocoa page according to the option Yes. Obscenity is correct answer option B. Each correct answer for this problem.


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