5

222 8 2 {{3 5 332 L 0 3 H 3 H Eg I 3 03 3 W 3 # I 1 8 2 # 1 3 1 4 8 0 3 8 [ 8 8 1 : 8...

Question

222 8 2 {{3 5 332 L 0 3 H 3 H Eg I 3 03 3 W 3 # I 1 8 2 # 1 3 1 4 8 0 3 8 [ 8 8 1 : 8

222 8 2 {{3 5 332 L 0 3 H 3 H Eg I 3 03 3 W 3 # I 1 8 2 # 1 3 1 4 8 0 3 8 [ 8 8 1 : 8



Answers

$\left[ \begin{array}{rrr}{-3} & {1} & {0} \\ {0} & {-3} & {1} \\ {4} & {-8} & {2}\end{array}\right]$

In this problem we have given about tricks eight, which is equals room. Pray for four by we need to compute in goes right, dog Millie, Debt Metrics e and I. We get 344 pipes flash 1001 Use reparations to convert. Mattress is less I indoor metrics. I slash eight years by applying our own changes to I do yes, minus one into album. We get one month for five minus 1001 No, By applying, I don't tend. Use to minus four into our island. Yes, Active. Make it Brandy was eagle one slash minus 114 Minus tree. Finally we applied Are one changes minus are too Knows that one big. Get 100 bon slash minus five for full My ministry Since the land last my tricks is in the form Move. I slash Inverse Therefore being girls were beak was too minus 54 or minus tree. Now we verify the answer but showing indoor a inverse is it was dried into demonstrates on a Inglis into it is always weak was right into dimension Find the burdock cough into eating goes we get the resulting matter extractors van 001 It is equals true identity metrics on. By finding the product off a English into a metrics, we get the resulting Mataric status 1001 It is also equals wide under the mattress and the paint result in verse is equals true minus five full or minus tree. It's got a

So in this problem we're given this five x 5 matrix And were asked to use a matrix calculator, luckily in order to determine or find the determinant. All right, because you can do this by hand. I might be a little difficult. You can probably pick Grow four here and you know avoid two of the calculations. But then you're gonna still be left with four x 4 Matrix sees and working those ways where's goes down. So this can be a lot quicker. So we go over here to the new matrix. In our matrix calculator. We went to Desmond's dot com math tools matrix calculator to get this. And our matrix is a five by five. I gotta get this thing built up here, the framework of it five by five. and so the first entry is a three and then a minus two A four three. You know, one, Then a 1-0 -1 zero 2102 on Euro. And then 5 -15. My ass. One 032 zero three, two Than 4 7 -8. 4 seven. Mine it's eight and zero zero. And then we have 123 one two three 02 zero two chris Sanders. So that's all in there. Now I need the determinant of this Five by five. So I go d et determinant of A And there it is 410. That was a lot quicker and a lot easier. And trying to do this all out my hand, wasn't it

Yeah. Alright. This probably asked us to expand around the 3rd column. So the determinant of a is going to equal zero times. It's co factor plus zero times. Yeah it's go factor plus seven times It's co factor That's negative one times its co factor. So luckily these first two terms are gonna be eliminated and then we have seven times negative one to the sixth. And the three by three matrix of things. Not in the same row or column. And so that gives us 10 -2410 to negative threes europe. Until in the second we're gonna expand about this third column because it's gonna make our life a little bit easier. Plus negative one Times -1 to the 7th. And the three right three matrix there would be 10 negative two for 10 and 56 eight. And so for that one there isn't a great row or column so we'll expand at the top. So are determinant is going to equal seven times negative two. It's in the first row. Third column negative one to the fourth, It's two x 2. Minor is 4, 1, -3. And then we get zero plus zero. Over here we get negative one times negative one which is positive one. We'll expand about that top column. So we have one times one times this minor plus zero was negative two times 1 Times It's minor. 4 156. So we're just going to take the determinant for a couple of two x two matrices. And so for this one we seven times negative two times the determinant which is negative 12 -2 plus one times one times the determinant 8 0 minus two Determinant is 24 -5. Okay, so we end up with a negative too. Times -14 at seven times 28. Yeah, plus one times eight minus -2 times 19 is negative 38. So we end up with 168 30. So it's always good to double check some stuff because looking through yeah, we know that something isn't quite right okay. Right mm. On here it is this negative to that little negative give us positive too Which would mean we have negative 12-plus 2 which is 10 which is 20. So that gives us the 1 40 that we're looking for, gives us 1 10. Sorry about that because we know it's 1 10 and that's why. Mhm.

That six is equal toe. Hi, Dex. Do I did by three X minus seven. And DX actually power for minus one. Divided by five gs minus 15. So he had if we would three X minus seven equals 20 Then access could do seven by three. And if we had access choir minus 40. Questo Jiro access car minus one equal to zero. Then access course to plus minus one on if we could hear five X minus 15 questions zero. Then we get access. Condo Pretty. We have to find Romanoff at by G once and off X. So domain here. Minus infinity. Tu minus one U n yet minus 11 You and yet 17 by three you And yet seven by three be Union Preto in grantee. Is that inquired on said.


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