5

8 1 li W 1 1 8 2 3 1 8 788 3 1 21 L M 1 1 1 [ 1 8 U 8 1 1 3 H 1 2 8 2 1 { $ 8 € % 0 1 0l 5 W 8 1 8 5 0 L' 0 0 8 9 $...

Question

8 1 li W 1 1 8 2 3 1 8 788 3 1 21 L M 1 1 1 [ 1 8 U 8 1 1 3 H 1 2 8 2 1 { $ 8 € % 0 1 0l 5 W 8 1 8 5 0 L' 0 0 8 9 $

8 1 li W 1 1 8 2 3 1 8 788 3 1 21 L M 1 1 1 [ 1 8 U 8 1 1 3 H 1 2 8 2 1 { $ 8 € % 0 1 0l 5 W 8 1 8 5 0 L' 0 0 8 9 $



Answers

$\begin{array}{|c|c|c|c|}\hline m_{i} & {8} & {1} & {4} \\ \hline\left(x_{i}, y_{i}\right) & {(-3,-1)} & {(0,0)} & {(-1,2)} \\ \hline\end{array}$

So in this problem, we're given this matrix and were asked to use the matrix capability of a graphing utility to find the determinant. So I went to Desmond's dot com, went up here to math tools, matrix calculator, and got this matrix calculator here. So in our new matrix and our matrix is a four by four. So four rose and four columns. Now the entries one minus one, C A A and four and two and six zero my S four and then to zero two and six and then zero two, eight zero. Okay, where's my matrix now? Just do D E T right here to get the determinant determinant of a yes, Negative,

Notice Fine whether it is concerned, not so. Drop battle lane the y axis any object it got at once. So any land pedal to the Y axis if cutting graph points. So it is not difference and because for every below X we're getting to a low upward and downward. So port every. Have a look off X. There are toe value off Funston. Therefore, it is not fun. It isn't our defenses. And if you talk about Domine soared amendments all the way. Low Xer call the doorman sort of a woman. It's from minus four before. If you object all the way low. OPEC's carriageway often is from minus four to port on the range. Rains are often develop, which is from minus three to today, so this is stomach and range.

All right. So for this problem we need to find the miners of these locations. So the minor of one to first row, second column. We want to eliminate everything in that row and eliminate everything in that column. So asking me the determine of 400 578 -2 -10. And then we can expand about this top row. It gives me four times negative one squared times 78 -10 as my two x 2 matrix. And then I get zero times. It's co factor in zero times. It's co factor. So those are going to cancel went up four times zero minus negative eight Which is 32. Mhm. Okay. Now M. 44 I want to raise that M. 44 is this guy down here. And so we're gonna eliminate The 4th Row & 4th Column. And so that gives me this three by three matrix which is 100 for 10 And 567. So that's nice because we can also expand about this top row. We have one Times negative, one squared times the determinant of 10 67 That gives us one Times seven. My 0, which is seven. So those are two miners for that problem.

This question is asking us to get a and B off solution. Awesome. These these air the equation from the problem. If he said set of metric from that, you can get thinks Hey, 10 Negative. Two five, two. This is equal to A and B. And if you served for this metric, you're gonna get one. You're 01 point fight and 0.25 At this point, I believe you can solve this metric for since this is all this problem is from s A T or a city. Oh, let me tell you almost vester way to solve this problem. So we're given to equation here. So Oh, at two equations making a hearing reader one variable with two means we can multiply Disa quiz. Um, Times five. This It's the color. So first equation Times five, then Sikander quiza times Negative three. So they will give us 30. Hey, close foodie. Be right. Five times eight. Give us 40 in the 4 to 5 times 5 25 and a times negative. It's gonna be negative. 30 here. Negative three times 10. A snake a 38 and here is will be positive. Very thick. You quit to be, is he? And these were called to negative 6 2/10 negative three. And you're adding this tree cuisine. So here is going to zero. Plus, you're always going to 76 in is equal to 19 and B it's gonna be 19 over 76. And if you almost if your simple simplifying more again one over four And so the answer is calling it, say, cause they only has 1/4 here. I mean, the answer, uh, multiple choice has only one before for a day. So the interest is a if, you know, make sure Oh, you can just look b you can plug be two one forest equation for a second equation. They will give us a You go to one head. So our answer this party is it


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