5

OHHO_Ho_OHHzn _...

Question

OHHO_Ho_OHHzn _

OH HO_ Ho_ OH Hzn _



Answers

$$\left|\begin{array}{ccccr} -2 & 0 & 0 & 0 & 0 \\ 0 & 3 & 0 & 0 & 0 \\ 0 & 0 & -1 & 0 & 0 \\ 0 & 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & -4 \end{array}\right|$$

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

But today we're looking at question number 18 in the textbook, which asked whether the three vectors except T Y o T and Z f t are literally independent or liberally deepened. Okay, First comment I should have to make is that I cannot use the Ron skin here. Why? Because the Matrix here, the matrix X city is not square. So this is not a square matrix. So the Ron ski and method is out, and that means that I must use linear the definition of linear independence. But I think this question is actually a nice, um, a nice question to better understand the concept of linear independence here because, uh, it's is I I think it is. You'll see in the end that I think I think it's a nice question. So assume that there exist number Xavi, and see such that, um, for every ci, I have, um, 18 holding. So for every t 18 holds Okay, Uh, then in particular, I know that this 18 holes for both are equal zero and as equals pi over too. Okay. And now, if I evaluate 18 at our equal zero, I see this. I get this expression awesome. I'm really just plugging in here are equal zero into each of the, um of the vectors. Yeah. Yeah. Okay. And, um And then, uh, when I do that, I get I end up with a equals A will see equals zero, and that's just solving. That's just solving the system of, um, that's just solving the system of linear equations. Okay, So, evaluating our equal zero, I get a cool sequel zero and then evaluating a pie over to ay, enough with something very similar. And now again, I'm just evaluating 18 of just plugging and pie over to it in, um, in all the vectors in 18. And when I end up again with ankles, be equal zero. So this means then that if 18 holes for all she I must have, uh, a equals B Equal sequel zero. It's the only values that hole that could possibly work. Remember, A, B and C are fixed numbers here so they don't bury for T. They're just fixed. And that's exactly what it means to be linearly independent. So So that tells us that Excellent Wa x, y and z earlier Really independent. And I think this is a nice ah, a nice example off the definitions

That's that's one for you with this one. Remember? Our are very so this one doesn't have any solution because we have our last Oh, it was us isn't true. Statement, so we can see that. Is this Listen, but right or all right. What are the right reasons so Or money? Sports. Why you gotta wait a solution? We thought so. This is more only work. Not all right.

In this video, we're gonna go through the answers question of a 17 from chapter 9.3. So we're given a Matrix. X is a function of team getting by eat 30 even 40 e to the t 48 40 so as to find the inverse off this matrix 40. So let's do that here it's two by two matrix. So let's just first figure out whether we could do it using the Formula one of the a D minus BC, so ah, don't be won over a d, which is for e to the 40 times e to the t to eat the five teen minus E to the 40 times e to the t, which is e to the five. See that looks OK. That can never be zero. Uh, then this is gonna be the bomb, right? For is the 40 that's going minus E to 40 minus e to the t on dhe. Eat that C. Okay, so one over four eat the fight humanity to fighting. This one over three eats the five team so that most play not in. It's gonna be four over 3 40 times. One of these invitees as e to the T. Then we're gonna have minus one of three. It's the team minus one over three. Then it's east. The tea provided by five t. That's easy. That one of the key to the 40 on DDE done. It's gonna be one of the three eats the 40 which stuff?


Similar Solved Questions

5 answers
Find (he function f(x) = ax? bx2 cx + d for which f( - 3) = - 118,f( - 1) = 0, ((1) = 6, and ((2) = 12. {(x) = (Simplify your answer )
Find (he function f(x) = ax? bx2 cx + d for which f( - 3) = - 118,f( - 1) = 0, ((1) = 6, and ((2) = 12. {(x) = (Simplify your answer )...
5 answers
Use the Limit Companson Test to detenine convergencodivergence0.0015 2 n+9Select the exprossion below that could be used for bn in the Limit Comparison Test and fil in the value of the limit L in your choicegives L =bn =n gives L =Qivos L =Vn gives L =Doos tho series converge diverge? Choose (he correct answer bebwDivorgus Converges
Use the Limit Companson Test to detenine convergenco divergence 0.0015 2 n+9 Select the exprossion below that could be used for bn in the Limit Comparison Test and fil in the value of the limit L in your choice gives L = bn =n gives L = Qivos L = Vn gives L = Doos tho series converge diverge? Choose...
5 answers
Adigraph of a job with the following tasks and time are given here answer part (B) on paper clearly.T (8)TsT9 (2)TIs (5)Tn (7)T; 0T0T,(4)Use the decreasing time algorithm to create 3 priority list.B. Schedule the job with 2 processorsP P
Adigraph of a job with the following tasks and time are given here answer part (B) on paper clearly. T (8) Ts T9 (2) T Is (5) Tn (7) T; 0 T0 T,(4) Use the decreasing time algorithm to create 3 priority list. B. Schedule the job with 2 processors P P...
5 answers
Use spherical coordinates to compute the triple integral of the function f (,y,2) = (22 +y2 + 22)3 on the solid region {(1,y,2) € R3 1 22 +y2 + 22 < 4, y < 0}.
Use spherical coordinates to compute the triple integral of the function f (,y,2) = (22 +y2 + 22)3 on the solid region {(1,y,2) € R3 1 22 +y2 + 22 < 4, y < 0}....
5 answers
Question 48 Not yet answered Marked out of 1 I Flag questionWage (Salary) may be defined as payment for the use ofa: All of these b. Landc. Machined. Labour
Question 48 Not yet answered Marked out of 1 I Flag question Wage (Salary) may be defined as payment for the use of a: All of these b. Land c. Machine d. Labour...
5 answers
CoVe -up #HhoJ) [ afld IL Lsz HeoviSi dz =2 2 €C ~xpdd H kckn 27+227+2+2 ad skw It lit;l exisk 2 Usz Hhe 6 - 6 Foos exss fxc lim 2 +/ 0t 2j alse {jm 2 Fo 22=0 2-20 Z2_=x hesc K e2 23= 2 w hoe 2_ 6C .
CoVe -up #HhoJ) [ afld IL Lsz HeoviSi dz =2 2 €C ~xpdd H kckn 27+227+2+2 ad skw It lit;l exisk 2 Usz Hhe 6 - 6 Foos exss fxc lim 2 +/ 0t 2j alse {jm 2 Fo 22=0 2-20 Z2_=x hesc K e2 23= 2 w hoe 2_ 6C ....
5 answers
The British historian Thomas Macaulay once remarked that copyrights are "a tax on readers." In what sense are copyrights a tax on readers? If copyrights are a tax on readers, why do governments enact them?
The British historian Thomas Macaulay once remarked that copyrights are "a tax on readers." In what sense are copyrights a tax on readers? If copyrights are a tax on readers, why do governments enact them?...
1 answers
Solve each polynomial inequality in Exercises $1-42$ and graph the solution set on a real number line. Express each solution set in interval notation. $$ 5 x \leq 2-3 x^{2} $$
Solve each polynomial inequality in Exercises $1-42$ and graph the solution set on a real number line. Express each solution set in interval notation. $$ 5 x \leq 2-3 x^{2} $$...
5 answers
Chlorine dioxide (CIOz) is used as a disinfectant in municipal water-treatment plants. It decomposes in a second-order reaction with a rate constant of 0.052 M-Is-1. If the initial concentration were 0.191 M, what would the concentration be after 8.02 $ has elapsed?Note: Do not put units in the text boxl Report your answer to 3 decimal places and do NOT use scientific notation.
Chlorine dioxide (CIOz) is used as a disinfectant in municipal water-treatment plants. It decomposes in a second-order reaction with a rate constant of 0.052 M-Is-1. If the initial concentration were 0.191 M, what would the concentration be after 8.02 $ has elapsed? Note: Do not put units in the tex...
5 answers
Describe the three-dimensional shape that is created when the semicircle is rotated around the V-axis. Include anv known dimensions_The three-dimensional shape that will be created is (Spelling counts}
Describe the three-dimensional shape that is created when the semicircle is rotated around the V-axis. Include anv known dimensions_ The three-dimensional shape that will be created is (Spelling counts}...
5 answers
Let %()=r'a Y()=k'l Are X()and y() llnearly Independent on the fvligslng intervzls:[0,o)(3,0]Fod
Let %()=r'a Y()=k'l Are X()and y() llnearly Independent on the fvligslng intervzls: [0,o) (3,0] Fod...
4 answers
5) Joy left at 8am to go to Dallas Texas. The mileage on the car at the start reads 40,742 miles_ She decided to stop for the night and found hotel at 3pm_ The mileage reads 41,200 miles. What is the average speed the car traveled? (4) (round to one decima place )
5) Joy left at 8am to go to Dallas Texas. The mileage on the car at the start reads 40,742 miles_ She decided to stop for the night and found hotel at 3pm_ The mileage reads 41,200 miles. What is the average speed the car traveled? (4) (round to one decima place )...
5 answers
AaetJaucnminutiThetaDitendcommeteAraminaliogpanouDourYecnc Jhenomnrnureslrjelna quredo 75Dmtahncmolcfna the ruamhcnthojr C edednai?nchatinatratALLARcotittaeme7 TnorrtNinNenutctMirultGecmak'Punmnain Rrmot 90 m nujceKfallldcntComoiMnmeedethat [he Ouas hat G0 #udcrte neamei Knoe rumbcr]"
Aaet Jaucn minuti ThetaDitend commete Araminaliog panou DourY ecnc Jhenomn rnures lrjelna quredo 75 Dmtahn cmolcfna the ruamh cnthojr C e dednai? nchatinatrat ALLAR cotitt aeme7 TnorrtNin Nenutct Mirult Gecmak' Punmnain Rrmot 90 m nujce Kfall ldcnt Comoi Mnmeede that [he Ouas hat G0 #udcrte nea...
5 answers
(5 pts) Define f(v,y) L e" du and suppose z(s,t) = t2 _ s2 and y(s,t) = st + s_ Figure out a formula for 8 in terms of $,t using the Fundamental Theorem of Calculus (part 1) d J fwJdw f(z) (when a is constant) and the multivariable Chain Rule.8f d8
(5 pts) Define f(v,y) L e" du and suppose z(s,t) = t2 _ s2 and y(s,t) = st + s_ Figure out a formula for 8 in terms of $,t using the Fundamental Theorem of Calculus (part 1) d J fwJdw f(z) (when a is constant) and the multivariable Chain Rule. 8f d8...
5 answers
Solve the following linear Fredholm integral equations:[L. u6r) = 5+1 J6 xtult)dt. 2. u(r) = sec? X+A Jd u(t)dt. 3. u6r) = Sec? xtanx _ ^ Jd u(t)dt. 4 ulr) = cosx + A JG xtult)dt .
Solve the following linear Fredholm integral equations: [ L. u6r) = 5+1 J6 xtult)dt. 2. u(r) = sec? X+A Jd u(t)dt. 3. u6r) = Sec? xtanx _ ^ Jd u(t)dt. 4 ulr) = cosx + A JG xtult)dt ....

-- 0.025107--