m-compute-the-singular-values-of-the-4-times-4-matrix-in-exercise-9-in-section-23-and-compute-the-co

Question

[M] Compute the singular values of the $4 	imes 4$ matrix in Exercise 9 in Section $2.3,$ and compute the condition number $\sigma_{1} / \sigma_{4} .$

Jack Chen · Accepted Answer

for this problem. We just our input of the match checks into the calculator, and, uh, it returns the single the values off this metrics. So this is the solutions for the singular values. Sigma 12 Sigma four. And the condition number will be a question off sticking my one over a sigma for so you can see that the condition number for this metric this really large on the miss Other solutions to this problem.

Jack Chen · Answer

Okay, So, um, for this 555 metrics, I would just didn&#x27;t put this metrics into calculator. And the regularly little will give us this singular values off this five by five metrics and the for the condition number, you will be a question off the greatest single value over a smallest, a singular value. So this is a result for this program.

Jack Chen · Answer

Okay. So for this problem can just directly imports the metrics A into the calculator, so the single ability position will be the 40 matrix multiplication. So you times signal times of agents, posts and the ah, this are the details off this mattresses. So the singular values for magic say we&#x27;re before the 20 and 10 in a less zero here because there&#x27;s ah zero wagon Valeo for a transpose times eight.

Suman Saurav Thakur · Answer

30 number problem. We have thematics a whose elements are 101 by two minus 352 00 for So we need to find minor for 23 So 23 minutes. This is 21 this is 22 This is 23 So just skip this and this. So my little bit of determinant off 1000 So it is definitely gonna be zero, because for toe find determinant, we re multiplying these toe. So one in 200 minus zero. That&#x27;s zero off course Perfecter will always be, you know, because Letterman and zero call Victor naturally will become zero. The dancers thank

Sriram Soundarrajan · Answer

Is this our problem? Number 19 from the section Jordan Communicant For here. The given My kids is full. Full minor! Full. We need to find the Jordan canonical form and incredible matrix here must we can find Lambda even were victors. For that we need to find a good by the cavemen. Islam die should be called sterile with can return us four miners Lambda full minus full throw minus Lander. This gun, which is should be Gardasil. So began right four, minus lambda into the world. Miners Lambda plus 60 determinant should be called a zero If we sold is a great and we will get Lam Ra squared minus 16. Lambda plus 64 will be called a zero lambda with vehicles a comma eight. These are taken values off this. Okay, then we can find Hagen directors for gas. Morning land. I could do it, Eggen. Victors, for preventing digging because we can write in mine. Islam die. He do. It should be called to say that this four minus Landau four minor full. Then the weather minus lunga in tow. X excellent X two should be called toe fiddle. So if it&#x27;s all it is it. Are you good? Minus full. Minus four. Full in the excellent X do should be good fiddle. Yeah, that&#x27;s all of this. 25 x one and x two It will be Get began. Situation minus four, X one plus four X two will be cordial syrup. We&#x27;ll get us excellent because X two for Reagan Victors, Eggen Victors are but got nowhere to find. Generalized again, Victor. They&#x27;re not our allies do again, Victor. They need through kind of, uh u minus A I in tow X because, uh what, it&#x27;s going to turn us in my nasty Uganda&#x27;s minus four. Full mindful. Full Windows X ex gangrenous. Excellent x two. They should be clear toe lying by. It&#x27;s every thought is a question. We got minus four. Excellent plus four x two equals one So we can write minus for external Gausman minus four x two x two equals cereal. Then we can get extra Nichols minus run by foot. So demand principally obligating us minus one by four. You know, Is that a gun there so we can write? Yes as well. I&#x27;m like minus one by four Phil Andi as in versus zero one before that is entertaining the stoop and changing saying off this lot this too minus a lot. Well, I in the one budget on land office, which really begetting us one before. So we had to find, as in West yes. Ritual beginning us by minus one before for a sin was a as a beginning us one by one before Theriault one before minus one run when it to write E A If for four minus four Well, then, yes, yes. Is one minus on before one cereal. That&#x27;s my two buddies to get us eight minus line eight. Learn. Then we can bring this matrix if one by one, before all stop, it will become four 01 by four minus are more so This can return us for Indu 21 by four zero to for the final. My place will be as in less. Yes, because eight My sierra eight. That&#x27;s the end off our question. Thank you.

Lauren Shelton · Answer

so I&#x27;m gonna look for the rower column that has a zero and the easiest numbers in it. So I see that the second row has, um, to positive numbers and a zero with it. So if I were to expand in the second row, it be negative three because this would be negative times the determinant of the numbers that are in the Rower column. So for for negative, too, for for negative 23 plus two times the determinant, the numbers that are in the row or column one negative one negative +23 and then minus zero times it doesn&#x27;t really matter. What the determine is is because this will cancel. Now we&#x27;re gonna get negative. Three times 12 minus negative, eight plus two times three minus positive, too. So 12 minus negative. 83 times 20 Negative. 60 plus positive. Two is negative. 58 as my determine. It

Problem

$[\mathbf{M}]$ Compute the singular values of the…

Problem 28 Medium Difficulty

[M] Compute the singular values of the $4 \times 4$ matrix in Exercise 9 in Section $2.3,$ and compute the condition number $\sigma_{1} / \sigma_{4} .$

Answer

$22821.417$

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Linear Algebra and Its Applications

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Absolute Value - Example 1

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Linear Algebra and Its Applications

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

Anna Marie V.

Maria G.

Kristen K.

Michael J.

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

Linear Algebra and Its Applications