let-aleftbeginarrayrr-2-3-6-7endarrayright-repeat-exercise-5-using-the-following-sequence-mathbfx-a-

Question

Let $A=\left[\begin{array}{rr}{-2} & {-3} \ {6} & {7}\end{array}ight] .$ Repeat Exercise $5,$ using the following sequence $\mathbf{x}, A \mathbf{x}, \ldots, A^{5} \mathbf{x}$
$$
\left[\begin{array}{l}{1} \ {1}\end{array}ight],\left[\begin{array}{c}{-5} \ {13}\end{array}ight],\left[\begin{array}{r}{-29} \ {61}\end{array}ight],\left[\begin{array}{r}{-125} \ {253}\end{array}ight],\left[\begin{array}{c}{-509} \ {1021}\end{array}ight],\left[\begin{array}{r}{-2045} \ {4093}\end{array}ight]
$$

James Chok · Accepted Answer

okay. In this question, we want to approximate the Ivan value and Victor&#x27;s off this matrix. Given that we know X is equal to 11 a X is equal to minus 5 13 Bolivar a five x, is it too? Negative? 2045 4 1009 3 The first step that we do is we can reschedule this, and it will still be an iron. Becca, you for the 93 One minute to zero or five. Or mine three. And that is simply negative. 0.4996 and one. So we can just forget about this number right here because we&#x27;re only talking about We&#x27;re talking about Iran vectors. And if you scale this by heart 4000 and 93 it&#x27;s still gonna be the same. I&#x27;ve been better. So now we haven&#x27;t I convict that right here. Have I been Victor with one in the second entry? And so it&#x27;s an approximation often island Victor off, eh? So it&#x27;s you compute the argon value. Just remember that a me using to land a B so just simply computing baby musical too negative two minus 36 seven times by natives Their point for mine. 961 This is equal to negative 2.8 for 00 to 4. Well, quick. So remember that this is Lando V. So it&#x27;s just landed times with this land on time by one. So this is equal to something in it doesn&#x27;t really matter. And we have landed times one. So that&#x27;s just Lamba. So that so that I can values. He sent me this Lamba. He&#x27;s equal to pull 1002 for approximately

Linh Vu · Answer

and in culture and square over to M plus one here, the question is going to find a five. So only to do is with the base the in here by five. So had a five square overthrew times five plus one. Then we get Nico Jr 25 on God, uh, you know.

Linh Vu · Answer

So, given that I wondered, could you find a Jew? And the difference between a Jew terms equal German is 1/2. You can find the ante. Covic, you find a human is half Take a Jew, huh? Aunt up too. And it could you to a tree going to do minus half. So you go do tree out of ju A for a coach. Nutrient of German is 1/2 and he could do to you and June. You got you one. If I go do one day by a minus 1/2. So I called you 1/2 and a six echo gia, half minus 1/2 and he could do zero.

Subhadeepta Sahoo · Answer

for the given sequence of numbers, we can see that they said seven by two and four in Britain is 852 on this is nine by two on 500 understand by two. So it is obvious that the next time will be 11 by two. On the next time will be 12 by two, which is called to six so the next to council will and number two and six.

Linh Vu · Answer

a and e Cocina Teoh and less one off Cuba. And that&#x27;s one and a question asking to find a seven. So are we need to do is we replace the end by seven. Then we get it to power. Seven. Dress one juego seven plus one. Then we should get in college in Juba. I over Juba servant. Just one. Then we get Go to to our aid. Beginning go to the 256. Two for seven will be 128 so with Jonah Genting nine.

Heather Larsen · Answer

all right. In this problem, you are asked to write an explicit formula for this sequence. So when doing this, it&#x27;s just pretty much a trial and error. So remember, explicit formulas looks something like this, and then n is in here and end could be in here twice. Or it could be in there once, um, and could have a power and could be dividing and could be multiplying and could be doing a lot of different things. And writing the explicit formula can be tricky. And the only way to get better is just practice. So couple things you want to dio let&#x27;s first start with N. And the first thing you always do is you plug in one. OK, so clearly one is not our first term. But how can we turn one into four and start with, like, adding or subtracting? If you were gonna add a number to try to turn it into four, you dab three. Right? So, um, one plus four or one plus three is for Kate. Then see if that works for the next term. So a sub to if I plug in to okay and this and we&#x27;re calling this our our end term. Okay, okay. If we do two plus three, will we get seven? Nope. We get five. So now we need to maybe do something with the end. Thio, adjust it. Um and you can try multiplying the end. You can try raising it to a power. You contrite dividing the end a lot of different things. So this one, I was kind of lucky. I just, um, guest, actually. And I thought Okay, what if I have? Um, so I&#x27;m gonna kind of leave that work there so you can see it. What if I raise and to our power? What if I square? And so if I have a sub one and this again, I&#x27;ll write my end in red. If I square and okay, then I add three. I will still get one plus three, which is four. But then when I plug in to if I square two and add three again, I&#x27;ll get four plus three, which is seven. And that&#x27;s my next time. Um, and then here. If I plug in three, if I square three and at three, then I get nine plus three, which is 12 and same thing if I put in four and square four, not three, then I get 19 and someone and you want to check each one. And and I checked 28 networked so my explicit formula would be and squared. Plus three. That&#x27;s a plus sign. Sorry, and then that&#x27;s it.

Problem

Exercises $7-12$ require MATLAB or other computat…

Problem 6 Easy Difficulty

Answer

$\lambda=4.0024$

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David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications

Catherine R.

Heather Z.

Caleb E.

Samuel H.

Vectors Intro

Vector Basics - Example 1

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$\lambda=4.0024$

Linear Algebra and Its Applications

Catherine R.

Heather Z.

Caleb E.

Samuel H.

Vectors Intro

Vector Basics - Example 1

David C. Lay, Steven R. Lay, Judi J. McDonaldLinear Algebra and Its Applications

Catherine R.

Heather Z.

Caleb E.

Samuel H.

David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications