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0 %o % 0 1 "6, 8 2 4 1 9 0 % 8 work - 1 1 1 1 % 2 1 1 8 1 "6, 8 1 1 2...

Question

0 %o % 0 1 "6, 8 2 4 1 9 0 % 8 work - 1 1 1 1 % 2 1 1 8 1 "6, 8 1 1 2

0 %o % 0 1 "6, 8 2 4 1 9 0 % 8 work - 1 1 1 1 % 2 1 1 8 1 "6, 8 1 1 2



Answers

$$\left|\begin{array}{cccc} 1 & -1 & 8 & 4 \\ 2 & 6 & 0 & -4 \\ 2 & 0 & 2 & 6 \\ 0 & 2 & 8 & 0 \end{array}\right|$$

So on this problem, we're given this matrix and were asked to use matrix capability of a graphing utility to find the determinant. So I went to Desmond's dot com and went to math tools matrix calculator and got this matrix calculator. So I have a four x four matrix. So I go new matrix And I got four rows and four columns And the first entry is a zero and then a minus three in an eight and that too. And then eight one a minus one and six And then I -4 in a six. Mhm and zero and a nine. And then uh minus seven, two, zeros zero, zero and 14. They had dinner now to find the determiner of this, I use the D E T button right here go determine it a matrix A And there it is 7000 441 7441.

In this problem, we have given the mattresses on be an oxidant remind video. The pair of each metrics is the inverse off each other. Let's consider it Mac tricks be find metrics. Be post refined, a productive metrics A and B begin the metrics which is equals toe identity mattress. Now they find a productive be into a The result of markets would be my 00 010 three do which is not equal ist white into Demetris Since the product of too many places on either side are not I'd into demand tricks. The given to my prisons are not in rows on each other.

We want to use a calculator to find the inverse of a matrix. I'm going to illustrate this with the decimals matrix calculator. So we're going to hit new matrix, identify this as a three by three matrix and then put in the elements 120 which is optional, type -1, -1 2 -10. Want us to find, then you just type Matrix A. And then the inverse. And you can then identify the inverse as 0.20 point 4.40 negative point to 1.4 negative one negative 1.2. Yeah.

In this video, we're gonna go through the answer to question number seven from chapter 9.5 West to find the argon values nine vectors off the matrix A given here. First. Do that. We need to find the determinant off the matrix. A minus. I ascetic with syrup. So this is the determinant. Off one minus R zero zero two three minus. Ah, one 0 to 4 months are You're wasting your over the top road Got one minus r times by the deterrent box Right to Buddy Matrix, which is remind us ah times by four minus R minus two. This is gonna be a one minus ah times by Ask what minus for our minus three hours. Minus seven are plus 12 minus to which is plus 10. Good. Then we can characterize this with one minus R and it's gonna factor Rise to be Ah. Minus five, uh, minus two. So we said that equal to zero. Then solve we're gonna have I can Values are is equal to one. I was equal to two on our secret five. There are three aiken values. Find their associates. I connect this starting first with I come back to rise. Because of what? When it's find the matrix a minus one times high times, the fact that you want is equal zero up. This is just 000 Good two to you. One on zero two three touched by yuan is equal to zero safe. Let's complete this by hand. So if you want, let's let the components be ex wives that then from the second World, we've got that to x close Thio. Why course Zed is equal to zero on from the third room we've got there, too. And two, Why close? Three is equal to zero. Okay, so this his bottom equation tells us that, uh, why is equal to minus three over two times that on the top equation tells us that thanks is equal to minus that minus half that minus why that's minus half said, plus three up to said. That's just ones that so, So X equals said, Let's just let them be ones. And that why's it was minus three or two time times said, which is just three. Everything. That's a first I Greta, the 2nd 1 we calculate with a minus, the less I connect it was too. Okay. Months to I times you want you could see. Right. That's gonna be a minus. 100 two 11 zero two four months. Two is two tells about you want zero? So the first hotels is not the first component. If you want equal to zero, then the bond to Rose. Tell us that Thea, the second and third components are next to each other. So if the 2nd 1 is one that the books reminds one, let's find the third Aiken Vector. Yeah, I can. Value was five comes I times you What do you want? It was there. So therefore months 400 two minus 21 02 minus one you want you see what Zephyr therefore you want? Well, the first component cto read off. That's just gonna be zero then. Second and for components are gonna be Will be, uh, yeah, we can tell from the second or the third World that if the second component is one, then the third component is twice second bone in, which is just too. That's a final act of Beckett


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