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SalFor 74 10-02.24 2018 GMT 05 00)1 1 8 1 1 1 1 I 1 1 1 8 3 7 1 8 1 1500 10001 1350030002500 2000 Wavenumbers cm-1)5.05 2018 (GMT-05.00)Sat Apr 14 10.02.24 2018 (GM...

Question

SalFor 74 10-02.24 2018 GMT 05 00)1 1 8 1 1 1 1 I 1 1 1 8 3 7 1 8 1 1500 10001 1350030002500 2000 Wavenumbers cm-1)5.05 2018 (GMT-05.00)Sat Apr 14 10.02.24 2018 (GMT-05,00) 4000.00 400.00 shold: 85.699Ra? 16ntensitv:27.600

SalFor 74 10-02.24 2018 GMT 05 00) 1 1 8 1 1 1 1 I 1 1 1 8 3 7 1 8 1 1500 1000 1 1 3500 3000 2500 2000 Wavenumbers cm-1) 5.05 2018 (GMT-05.00) Sat Apr 14 10.02.24 2018 (GMT-05,00) 4000.00 400.00 shold: 85.699 Ra? 16 ntensitv: 27.600



Answers

If $\left(\begin{array}{rr}7 & -6 \\ 8 & -7\end{array}\right)^{2008}=\left(\begin{array}{ll}7 & -6 \\ 8 & -7\end{array}\right)^{2010}$, then $\left(\begin{array}{rr}7 & -6 \\ 8 & -7\end{array}\right)^{2009}$ is (1) $\left(\begin{array}{ll}7 & -6 \\ 8 & -7\end{array}\right)^{2008}+\left(\begin{array}{ll}7 & -6 \\ 8 & -7\end{array}\right)^{2010}$ (2) $\frac{1}{2}\left[\left(\begin{array}{rr}7 & -6 \\ 8 & -7\end{array}\right)^{2010}-\left(\begin{array}{ll}7 & -6 \\ 8 & -7\end{array}\right)^{2008}\right]$ (3) $\left(\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right)$ (4) $\left(\begin{array}{rr}7 & -6 \\ 8 & -7\end{array}\right)$

All right so we're comparing clocks and we've got five clocks A. B. C. D. And E. Best to worst timekeepers and we're reading them at noon. So I see that on and I'm going to write down sunday monday Tuesday Wednesday thursday friday and saturday. I'm going to write down how far off they are. So this is off by 36 minutes and uh 40 seconds 36 minutes and 56 seconds 37 minutes and 12 seconds 37 minutes and 27 seconds 37 minutes and 44 seconds 37 minutes and 59 seconds 38 minutes and 14 seconds. Okay so as I'm just thinking about this clock I'm thinking it looks like the time changes about the same. So when we go from sunday to monday there's a 16 2nd difference 76 minus 56. It's a 22nd difference. 27 minus 12. The 15 2nd difference it's weird. Uh 44 minus 27 17 2nd difference 59 minus 44. The 15 2nd difference. And um this is gonna be 74 minus 59. Also a 15 2nd difference kind of weird that from monday to Tuesday 56 to 12, that would be 70 to minus 56. Wait a minute. That's a 16 seconds difference. How did I get? 20? 27 minus 12 is 15. Okay, so every week it's only off by 16 plus or minus one second. That's pretty good. Okay. Maybe not for a clock but it's still pretty good. B so I'm just gonna write ah how well you know what, I'm writing the amount of time away from 12 o'clock. So this one is going to be one second negative, two seconds positive from 12 o'clock. This will be three seconds negative from 12 o'clock. This will be seven seconds positive of 12 o'clock. This is two seconds above 12 o'clock. This is negative. Four seconds from 12 o'clock and this is three seconds from 12 o'clock. So again I can do the subtraction. Not sure why it says my connection was lost. Yeah. That's weird. Let me refresh the page. Yeah. Okay. So I notice on this one that every time it gains though it gained 16 seconds gains, I wanted to write gains, gains, gains, gains, gains, gains. It's always gaining time. This one oh no it didn't take all my numbers usually this remembers it. Okay so Wednesday with seven seconds ahead thursday with two seconds, friday was negative four seconds, saturday was three seconds. So getting the difference here gaining three, losing five, gaining 10. I need to be able to read this so I'd better write my five again, gain three, lose five gain 10, lose five game nope, lose five then lose six more from yeah. And then from negative 423 gain seven. Okay, interesting. Um Let's go to see I like to be more than a by the way. Cosby is gaining and losing A is fairly consistently gaining. Okay, so this is off by for three hours, 50 right minutes and 45 seconds, three hours, 51 minutes and 43 seconds. You know what? I don't really care that it's off by three hours doesn't really bother me because I could reset it. So I'm just going to take the time from 1500 hours. So it's going to be 50 45 51 43 52 41 50 3, 39 54 37 55 35 56 33 45 43 41 39 37 35 33 that's minus two every time. Um However it looks like minus two but 50 45 to 51 43 that's actually plus 58 but its plus 58 every time. And I wanted to write this in red. So this might actually be the best one because every day it gains exactly 58 second. Moving on 3 59 to 52 1 45 38. And now I need to get negative 29 negative one. And uh 40 no 36. Yeah and then negative two and 60 minus 17 43. Okay let's look at the difference on this one. Three 59 to 2 52. That would be a minute and seven seconds seconds. Which would be 67 52 to 45. That's negative 67 negative 67. Well this is consistent also 38 plus 29 67. So every day it loses 67 seconds. So seriously I don't really see a difference between C. And D. And the the reliability of the clock. Okay. And last one three 59 two 49. One 54. One 52. One 32. One 22 one 12. Okay. What do we have here minus 10 seconds plus five seconds minus two seconds minus 20 seconds minus 10 seconds minus 10 seconds. Okay. Well obviously we see a consistent pattern here and we see a consistent pattern here. So these are very consistent and predictable. So best to worst. C. And D. Are best see and the are tied for best because they're consistent and 100% predictable. Um A B. Any let's let's think about those three. Hey keeps adding but it keeps adding in a pretty predictable manner. B up and down from the right amount and he's also up and down from the right amount. So I would say A is the next most predictable. Um It is getting worse with time but at least you can predict it. Um So now be versus E. I think it really just comes down to since these are going up and down and up and down which one has the most variation up and down. So I see 35 10 567 And I see 10 to 2. You know what? I'm going to go to a spreadsheet, going to use Microsoft Excel and I'm going to get the standard deviation of these numbers of the red numbers. So be the standard deviation three negative five and negative five negative six. Seven. And I'm comparing that versus E. Okay negative 10. Five negative two negative 20 negative 10 negative 10. Mhm. Standard deviation. Mhm. Okay. Seven. Standard deviation yeah. Eight. Wonder what the mean is. Mhm. Let's see. Zero. So I would say in every way he is worse, it's awful in the mean and standard deviation is higher. So I think to me at least it's pretty obvious that be is next best and E. Is the worst and it's basically to me based on predictability and following a pattern, C and D follow a pattern and they're very predictable. Um You know what D though is closer to the correct time, which I don't know. It matters much but I I if I had to choose I'd probably take d oversee, but then he might be a little deceptive because it's so close to the right time. Nevertheless, I'm gonna take D oversee. So D C A B E. Thank you for watching.

All right. So we want to know the day of the week. Um, January one fell on in 2020. So this is at this Congress center 2020 plus 2019, oh four minus 2019. Of 100 plus 20 19. 400 mod seven. So here we have 2020 bus. This is a five oh four minus 20 last five. And if you combine this, you should get 2509 my seventh. And this is a I'm going to the three. Okay, So Sunday again zero When you have a man of zero that sunday and then we have Matter of three. So that's Saturday Monday Tuesday. So that this is on let's see. Yeah, this is on a Wednesday. Sorry, it kind of that wrong. So it's on a as this monday Tuesday Wednesday. So remainder of today.

I'm gonna find out some of the same. We have so we just This past all this emissions and why not compatible to warn the 30. We just passed all this here so they solve this. So we have anthea equals and factorial over and negative or pictorial times Alberta we have you. So now with all this we will have 30 633. I will be 30 factorial Over. We have 30 negative are Factorial Times and Petroleum over we'll have 30 factorial Over. We have than 30 negative art Or to do one territorial times we have Are negative one territorial First cancel out here we have so we get now it's coming up to be 30 negative are forced to one or we get here up Mr folders To this point of the submission here. He has got to be hard as one. So one times this one time he will have 30 -141 or one Plus two times we have 13 negative too forced you want or what you like this We just and there we have 30 times 13 -34-1 Over 33 hands. So That's coming out to be for the 30 plus 29 plus 28 so on plus one. This is an ap here. So maybe it will be taken up. There's a posture um here in the common difference being is one. So now some has given us we will have S30 equals 30 over to hand over to a plus L. A plus last year to one plus last time is 30 That gives 15 times 31 465 should be. Let's check it out. And export is democracy three calls with two. Okay, Thank you.

In discussion. We need to find out the universal forgiven metrics by using technology. The human metrics is a calls to It is a three x 3 Matic. So the elements in the first two or 1.13.1 and 2.4 In seconds. The elements are 1.7, and 2.3 In the 3rd row. The elements are 0.6 -0.7 and -0.1. Now we will use the mathematical calculator for mattresses. Uh to calculate the universe of these metrics. Here is the mathematical calculator for Mattis is here in this portion we entered the metrics of which we need to find out the universe. Here is the metrics a cause to Starting from this care break it. The elements of the first ruler here, 1.1 comma 3.1 Come a 2.4 here and the second line the elements are for for the second row And there are 1.7, and 2.3 here. And in the 3rd line the elements out of Turtle which has 0.6 -0.7 and -0.1 and now so this is the metrics thereby earning via a skirt closed bracket. Now we will enter the formula for Uh universe of these medics which is here to the power -1 which will be a universe. So we entered uh the inverse that is here to the par -1 in he was in the formula bar. Now we in order to calculate the university will press this compute button and here is the computer burden. And after pressing this computer burden. Oh there is a pop up which shows similar medics that is check that out. It means that these metrics were entirely is a singular metrics and hence the universe of these medics does not exist. This is undefined. So we will write in our solution that it is a single medics and hence using using technology regard that. Yeah, mathematics is a singular matics and hence universe does not exist. I hope all of you got discussion. Thank you.


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