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Problem 1 9.792 1 8 @SO Zunlnlaeangu oo ncch 1 8 0l 20Egamaiadus 04od = Conslunt ECCUMccn "0c81 E...

Question

Problem 1 9.792 1 8 @SO Zunlnlaeangu oo ncch 1 8 0l 20Egamaiadus 04od = Conslunt ECCUMccn "0c81 E

Problem 1 9.79 2 1 8 @SO Zunlnlaeangu oo ncch 1 8 0l 20Egamaiadus 04od = Conslunt ECCUMccn "0c8 1 E



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If $\mathrm{A}=\left[\begin{array}{ll}8 & -7 \\ 9 & -8\end{array}\right]$, then $\left(\mathrm{A}^{2007}\right)^{-1}=$ ____. (1) I (2) $2 \mathrm{~A}$ (3) A (4) 2007I

So here we are given the metrics that is medics is equal to 87 -9 and negative. So we need to find out what is in worse. Okay so let us consider metrics physical. Yeah. B cnd. Okay so being was given us one by the A. D minus busy indu. We need to interchange the diagonal cities DNA. And we need to change the side of the other two developments. So this will be the metrics of means inverse of the given metrics. So here we can make use of that. Therefore here Eddie will be equal to Yeah inverse is equal to one by 80. So eighties 18 to minus hepatitis negative 60 -64 -97° -63. That is plus 63 indu we will interchange the diagonals that is -8 & a. And we'll change the sign of the other two elements that is Negative and will welcome nine And seven will become -7. So this is equal to This is -1 window negative eight negative seven, 9 98 with the same as eight seven, sorry, seven, Negative name and -8, which is equal door. Yeah. Therefore in this case a universe is equal to.

Well, everyone, this is Ricky and they were working on a problem. Five from a model test number six. And so this is a question asking us about sphere that's inscribed in a cube. And what the ratio of the falling sphere to the booth. All right, So to start this question, let's write down the formulas for both of our severe and for acute first fear, 4/3 choir cute. And for the volume of the Cube, a heart issues this will rather Cuba's the length aside. Yes, threes as cute. And then, if we translate this where the length of side ISS equal to the radius spear, get or rather the diameter of the spear, get what you are. That's a cute Wallace to paint way Now if we look at the ratio votes spear. Q. Start with Why are huge? Huge. You see that? Ready? I drop out. And for my what a fine two. Everything's fine Pi over 63.14 over six, which is about 0.52 I hope this video is helpful. Seeing that

In this problem when it find the General Association to assist them explain. T a x t were a solution to this problem. It's done in June. Steps third way to find out from them Intermeeting Capital X team And then the solution Little pigsty capital Extensive matrix times the backbone of constant Hey, so the first step to solve this problem is to find the eye of obvious off matrix values off A are given by finding a series of the artist as a thank you Just the Matrix. But this woman's our say one likes my mistress are Chu blends for 16 7 are finding these attorney in his preliminary minus part. Killed plus very R squared minus three are plus one on these factors out hope us you are mine serious off this this quality one part equals 10 on the multiplicity is how many times this proctor years on this station. This case is important to find generalize. Hi. That way, we're going to do next find the eye in Victor's 100 off the interest. So the first step is to find Melas base of a okay, which is the Matrix? Why? For for true 4 16 6 So this matrix is equivalent to the matrix. What for? Cyril? Cyril? One still. So the normal space up these magics is generated by only one vector. For what? So I am So they know space of defense matrix his own. This pact just want so we need to find them. Tree Jin is a victim 11 regular. So thanks to Jules, I So the next terrorize. I didn't find it in our face off this square off our square off our tricks, eh? Till picture that trial's hey, three zero, which is a queer winter. Very explain for trigger to sort of serve cereal. Looking at the long sprays of these 641 on the vector three. Syria. This like they're already appear that I am a here. What? I have found that this would be in their virginal eyes. Victor, that Okay? Soho Where were wasted? Still see. So is majors a minus? The power to only provides too. Hide your victim. Yeah, start. The next step is to go over the matrix. A mindless, I think during these fine all day up to them three as well. So we compute the cure of this major. This is zero X so we can take having an independent backdoor. Kids would be. What? Ciro Ciro, Sister Lena In pain. It's a weird British three Victors for So this comes from a spy to equal 32 Fritz, you're a Jew that comes from a high square and your three that comes from a minus. It's important from which no other space inspectors come from. So you can compute Matrix X to the power. Thirst, Compute! It's fixed So please matrix doing by three columns Each column a each of the vectors I think the 1st 1 explain t comes from hour. Why, it's one. But this comes from the majors. A. So this will be eat to the polar T That's 18 times Medical, for this is our first. The second call to a T more comes to one and two. This I know space of this world. So is E T. What's tee times a minus? I you too. Both of these. So it's okay. So what? We compute the ex team Thanks to you, he sees the better a t times 32 Hey, four Finally ext. T He's come for part three. It's the most basic of a minus, so e t Thanks. One a warning this high? Yes. Very close on call tears for Hey. Hi, us, sir. So this will be the victor T There's wants or so times negative, too over too. Hey, So these are the three columns off our. So where were we? Find the general solution. You're 60 is equal to come thereafter. See one sit. Sit way Computer service will be equal to C one X y g c Extra cheese hicks treatment. Okay, so you would see one g never before Syria, which is the first call? That's sit your three miners for dear. Sure. Finally I see three 12 t plus for school. What for? Which part of Kong's X t extra t that we use Pre misstated found. But it's fine. It's some of the inspector's overs, Vincent. It's the final solution to our

No the problem. We're dealing with two matrices. First we have the matrix A. Which is 7 -16. And we have the matrix B. It was negative 11 nine. Now first we want to find the matrix A plus B. Finding the matrix A plus B. Just means at the parts that go together. So we had the parts on the top seven plus negative 11 is negative four. Now the parts on the bottom they have 16-plus 9. There's no need of set A minus B. Works very similarly. We just subtract the corresponding components 7 -20- -18. They have 16 -9 is -25. Mhm define the matrix to A. We multiply everything in A by two. seven times 2 is 14. You have 16 times two is -32. Okay. And then find the matrix negative three B. We just multiply everything and be by negative three. They have three times negative 11 is 33. They have three times they have nines and they gave 27.


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