find-the-determinants-in-exercises-510-by-row-reduction-to-echelon-form-leftbeginarrayrrrrr1-3-1-0-2

Question

Find the determinants in Exercises 5–10 by row reduction to echelon form.
$$
\left|\begin{array}{rrrrr}{1} & {3} & {-1} & {0} & {-2} \ {0} & {2} & {-4} & {-2} & {-6} \ {-2} & {-6} & {2} & {3} & {10} \ {1} & {5} & {-6} & {2} & {-3} \ {0} & {2} & {-4} & {5} & {9}\end{array}ight|
$$

James Chok · Accepted Answer

Okay, so we&#x27;ll find a determined by reduction. So the first couple road action steps that will do is we&#x27;ll go right to and we&#x27;re plus two times everyone. So that in to shoot up the rights. The Greek. Sorry. Three. And then we&#x27;ll go full minds by one deck into four and finally go right. Five. Modest migrate to dancing five. That gives The Matrix won three months. One of your mom&#x27;s too 02 months. Four months, two months. Six. So now who performed the first reductionist? I&#x27;m sorry. This is your negative. Six plus six. Get easier to minus two. Gives his three plus zero times to stage three, 10 miles, 4 to 6. Now the next step and you do one minus. Once again, this is your five ministry kitty to negative six. Modest. Minus one gives a connected by June. My zero could do to negative three minus two. Gives you modest. Well, yeah, I&#x27;m extra doctor. Step two, this is 00 negative for minus minus four gives you 05 minus minus two gives you five plus 27 And finally nine plus six gives you 15. No, we will do rope for my cyber too. And put that into a fool. And we&#x27;ll also do by five minus seven on three times by rose three incidental. So let me get the Matrix. This is unchanged minus 10 minus two. You&#x27;re two months. Four months, Two months. Six is your 36 Now, this is the first operations to to my studio zero negative five minus minus four. So that&#x27;s months. 12 minus minus two. That gives you native one minus my six. So that gives you five, then, is it second operations? Now, this is your and we have 15 plus 15 minus seven on three times +67 on three times six is 14. So 15 minus 14. That gives you one. Now we will swap Row three. And so that was for. And that means we have to put a negative inside. Outside of what determinants? Most G? No, to my for my street. My six zero is your minus one or by 00036000 What? So this is an upper triangle, a matrix. So the determinant is the product of a diagonal. So negative one tends to double a minus one time. Bye. 321 which is negative. Negative six. So it&#x27;s just six foot six

James Chok · Answer

okay. In this question, we want to find a determinant by road reduction to the festive steps that we do is we&#x27;ll go right. Three minus two times. I wrote one, and we&#x27;ll put that into three. And I wrote full plus three tons of growing one. And put that integrate for that Use 32 months full. 01 too modest by now. Zero. So seven months. Six gives you 16 Minus forgives you, too. Native. Three plus eight gives you five no los road. So there&#x27;s zero here, minus 10. Plus my gives you minus one negative. 76 gives you modest one as well on Dhe too. Minus 12. Gives you negative. 10. Yeah. Now will perform two more operations, so we&#x27;ll get right. Three and one minus one. Right here too, sir. Thanks. Electable three when you get work for or possibly two thanks to that fool. So 132 minus 412 My spy. So this is there a two months to kit is your five minus negative by gives you 10. So 01 plus minus 102 minus one. Did you one negative? 10 minus five. Minus 50. Okay, Now we will swap. Right? Three. Well, slow, right? Three. No, Stop that with rope. For so that gives you 132 months for their one to spy. 001 minus 15 on there. Now, be careful because we we swap Rose. We had two times this by minus one. So this is an upper triangle matrix. So determined is just simply the product of the diagonal. So we should just 10 times one time, one times 1 10 and then we have two times it. Why must one this negative 10?

James Chok · Answer

okay. In this question, you want to find the determinant by a reduction. So the first thing that we&#x27;ll do is we&#x27;ll take right to anyone minus one. You said that into her, too. So that&#x27;s 33 months. Three. So 04 monastery gives you one minus four minus ministry using one. This one and this one remains unchanged. Let us live, then. If we factor out the three, we get 1111 It&#x27;s your 111 two minus three minus five. Okay, at the next step will take is row two and your mind is too tough. One. And he said that interview it too, without giving you 111100 mornings. One book Michigan last three. This is so this is, uh then minus three. Minus two. Gives him honest fly and minus five plus two. Gives him negative three. What is the one now? The next? That we&#x27;ll do is we&#x27;ll take Row three and add Biotech will go to And we said that Integrate three. That gives the metrics. Want one. Modest one 01 minus 100 on DDE. Negative. Three minus five. That&#x27;s native eights. What was that no effect throughout the negative eight. So there&#x27;ll be eight and three years of 24. 11 amongst one is your one minus 100 and one. Now the turn it off. This thing is even to one. This is exactly 24 times on one. It&#x27;s just a name, too.

Sriram Soundarrajan · Answer

Hello. Everyone here. He needs to find the rhythm, Randolph, or perform Empress for business. My gigs is going by 25 for Dean. FYI, thank you. My little 36 minus two, three, 11 minus. I&#x27;d be then, my destry, you seven. You need to find out from them. We will. I spend through first group the 4 25 Indo the Environmental Vineyards to find 036 3 11 minus 70 before family, then minus for being do my but a thinks minus 2 11 minus sandy minus 37 Then best file in tow. Nine 06 minus. Do three minus 17. Minus three for two. Then my understanding. Do 90 three minus two, 3 11 My industry 47 So if you find this determine value, don&#x27;t do five into dinner. Metal factory by three minutes will be minus 3 60 then minus for Cain. Do you turn it off the dribble? Three models will be like barn If I for eight plus five in do six earned it my nesting in tow. Miners do their foot If he saw all just you get your number. That&#x27;s stabbing fight. It was a little

James Chok · Answer

okay. In this question, we want to find determines using reduction and Cho Pak expansion. So the first way reduction stepped out. Tate years will take row three and was attacked by one and good that to grow three. So that gives you the determinants. One by or one Tzar minus two minus 40 and three months. One doozy too. Five minutes 504 marks for dessert, one month&#x27;s one kitchen and 655 Then we contacted expand by the last call. Seven. Mentoring our science. It&#x27;s positive. Negative politics. Next. So negative one climbs spy determinant off zero minus two once for choose your 065 and five. You know, we come back to expand along the second Roy, so it&#x27;s positive and negative. So negative one time by native to which gives you two sounds like minus two minus four. Why? And fight, which is just too five times minus two gives you 10 minus five times for minus four. Gives you native 20. So this is just to kind of modest 10 plus 20 just to talk about 10. It is just 20

Heather Zimmers · Answer

in this problem. We&#x27;re going to find the reduced row echelon form for this matrix and so we can see here in purple. What reduced row echelon form is supposed to look like when possible. And what you see is ones on the main diagonal and zeros elsewhere, except for the augmented part of the Matrix, where you have the numbers A, B, C and D. And so if you can get a matrix in this form, essentially, what it means for your system is that you&#x27;ve solved for X equals A Y equals B. Zeke will see and w equals date. So we are allowed to use a calculator for this problem. So I would grab a calculator at this point, and then I would go into the Matrix menu. We&#x27;re going to edit Matrix a press enter, and I&#x27;ve already typed in the numbers. So you&#x27;re gonna type in first the dimensions of Matrix A. It&#x27;s four by five, and then all of the numbers double check to make sure everything&#x27;s correct, and then you&#x27;re going to go back to the home screen. Once you&#x27;re back on the home screen, you go back into the Matrix menu over to math. And then you go down the list until you find reduced row echelon form, which is abbreviated R R E F. And then back into the Matrix menu to select a press enter. There&#x27;s a reduced role echelon form for this problem. So interpreting the meaning of this if this came from a system of four equations for unknowns, we would now know that X equals negative. 19 y equals negative. Four z equals seven candy or the fourth variable. Let&#x27;s call it W equals negative, too.

Problem

Combine the methods of row reduction and cofactor…

Problem 10 Medium Difficulty

Find the determinants in Exercises 5–10 by row reduction to echelon form.
$$
\left|\begin{array}{rrrrr}{1} & {3} & {-1} & {0} & {-2} \\ {0} & {2} & {-4} & {-2} & {-6} \\ {-2} & {-6} & {2} & {3} & {10} \\ {1} & {5} & {-6} & {2} & {-3} \\ {0} & {2} & {-4} & {5} & {9}\end{array}\right|
$$

Answer

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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

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

Linear Algebra and Its Applications