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Suppose that we know that the inverse of the matrix 6 2 1 2 0 9 is 3 7 W16WFo23Use this to solve the system of equations U:1 -612 283 =3 981 +vxz + T3 # 2 6€1...

Question

Suppose that we know that the inverse of the matrix 6 2 1 2 0 9 is 3 7 W16WFo23Use this to solve the system of equations U:1 -612 283 =3 981 +vxz + T3 # 2 6€1 1+212 +wxg m1

Suppose that we know that the inverse of the matrix 6 2 1 2 0 9 is 3 7 W1 6 W Fo 2 3 Use this to solve the system of equations U:1 -612 283 =3 981 +vxz + T3 # 2 6€1 1+212 +wxg m1



Answers

The inverse of the matrix $$A=\left(\begin{array}{lll}3 & 2 & 6 \\1 & 1 & 2 \\2 & 2 & 5\end{array}\right) \text { is } A^{-1}=\left(\begin{array}{rrr}& 2 & -2 \\-1 & 3 & 0 \\0 & -2 & 1\end{array}\right) $$Use this fact to solve the following system. $$\left\{\begin{aligned}3 x+2 y+6 z &=28 \\x+y+2 z &=9 \\2 x+2 y+5 z &=22\end{aligned}\right.$$

Give instead of immigration. The mark tricks is indigenous two minus three. My last fight three minus seven, minus sleep 11 minus one one. I just want my history minus six four and then we have W X. Why is it that should be equal to minus six? This will be equal to zero. 016 So it's always this in terms of pain versus mon tricks level Get to minus three for minus three minus 27 minus 311 minus one minus one minus 364 In terms of one 00 to 1, no one knows Every single one and no leaving slap are one. They are three to get this one. So doing that favor again. 11 minus 110010 The side will be three minus 27 minus three to minus three or minus five minus 13 minus six. Now eliminating this role elements how to eliminate it is our music will do our focus. Three are one to her three minus toward one and our photos are thought. That's our agreement. We will again 11 minus one, minus 59601 minus 30 minus six minus 710 minus zero zero minus two or minus seven. Sy is a little one. No devoting this point, they will do. 11 minus 110010 01 minus 26 by five Little minus one. Bikes like three bites like 00 minus 56 minus 710 minus true. Little minus two. Minus seven. No eliminating the stone. This Tillman distant 101 minus one by sight 01 by fight to buy 5001 minus 26 by 50 minus one night. Site three by five is even. 00 minus my one. Minus 100 minus 11. 37 by you. My stool. Levin. My flight. No, we will devote this point. Rewarding this point. We will get never again. 1011 minus one by slight 01 by fight. Goodbye. One minor stroke. Six spice like zero minus 153 Little one one minus one. My soul, My soul minus one. Nice. 00 11 37 by five zero minus two writes I live in my sight now making butter Group column A zero Justice from this term this term as you doing that even get 100 minus nine one by fourth. Minus one my friend 13 by 200010 17 by 10 minus one by 23 Biting one Invited 00011 by C minus one by 41 by four minus one by C C 00003 by 20 minus 11 by 4 47 20 minus 11 by 21. Now we're meeting sister as people, making that as the pivot point They get 100 minus nine by 20 one by four. My last one by 2013 by 20 0 They want 0 17 Beytin minus one by three Bite in one bite. 00000011 by four minus 14 one by four minus 10001 minus 55 by 203 47 by 203 minus 11 by 203 20. By doing this no, they has to eliminate were eliminated. This this and this by eliminating, we will get living kid. 1001000010 movie one on the left side we will 26 by 203 11 by go 01 27 by those 39 to minus eight by go zero minus 19 by does a 3 39 by Brazil three minus 34 by zero. T minus 37 My 03 39. My considered minus 48. My goes when I slice my result minus 55. My users 20 minus 20 taking one by three You get semantics. 6 11 1 27 9 minus eight minus 90 39 minus 30 minus 37 49 minus 40 minus five minus 55. 47 Minus lady. Now my playing is with 0 to 16 to get its the blue light w x prize it. They will get doing the magic multiplication off this each time with H collonville did one minus one 01 So w Z quinto one X is equal to minus one. Why is equal to zero and that is equal to one

I'm going aggressive. We have four cousins incorporated. I mean, it'll get disorders toe given sort of equal. Since they'll find the value of X rays, there will use metric in the matter. So that would provide this sort of big business in terms off its is a quarter. Be, uh, it's can be return eyes. Um, yeah. So even with the one spiegel three here, this one one and one next role. Zero next role, davon. Cool. Then we have proof. Okay, Good. I thanks by served. This is a girl. You chase Spiegel? No, Here. You know that. You can't explain it. Toe a nose full the states, so we'll get extra work. A billion dollars would be then in verse that your scalpel veteran Previous west since. But this metrics this. Mm ego CEO minus minus one. And we have it's wrong. Besides, this is one here, and then we have It's the u minus one this year. No solving this. You recognize what x we have promoted? That end was would be being that we will keep seal on it. One minus one. Spiegel. 11 Steve minus 11 Yeah. You know, little Venice. This may be just a tree. Hey, kid, this You know this is Beatle minus two. Market do That's true in market, out of a tree. Then we have Tzeitel. That's this beetle. This one month to that's a tree. He has Udal minus one. Really? One. That's one murder with do. That's the issue. Then we have Spiegel. This Siegel. That's this. You go minus one month with three. Not solving this where you get extra there under blue ass. This minus four. Equestrian minus one. Do this tree is by then, We have minus one plus two. Is one in my industry. A bit of the battle of picks by this Saturday Aaron Capital from substituting the values weekend cross check. It's a slight correction in the inverse off the metrics. So here it's a P plus in here, Syrian minus one. Therefore, the her certainly be here. That's and he had a B minus to so find a value of minus run by management and ministry

Come in the system of equations. The matrix equation associated with the coefficients one X 2, Y five C. Two X three wide. Eight C negative one X one, Y two, Z times the coefficient are the variables X, Y and Z equals the constance 233. How to solve this. We can think of this as matrix A, matrix B. And then you're going to multiply on the inverse to both sides. So it cancels out the left hand side. And so you get a inverse times the where a inverse is given to us as two negative one negative 1, 12 negative seven negative two negative 531 times B. And so we multiply a role one by column. That's 4 -3 minus three, Which is -2, 24 -21 is 3 -6 is negative three and negative 10 plus nine is negative one plus three is positive too. So the solution to the system is -2 -3, 2.

In this question, the system of equations is given towards the first equation is X minus Y plus cells is equal to minus three, and the second equation is minus two Y. Plus, there is equal to minus six, and the third equation is minus two. Works minus three Y is equal to minus 10. In the first part. Off the caution, we have to write the system as a matrix equation in the form off a X plus X equate to be so now metrics a will be the matrix off coefficients. So that will be one minus +11 zero minus 21 minus two by less 30 This is a metrics and then X metrics will be X. Why? And set. This is a column. It takes off variables which we have to find and this will be quick Toda my less tree minus six minus 10. This Gola metrics in be part off the question, we have to solve the system off equations given here by using the fact that in worse off metrics is three minus 31 minus toe toe minus one minus 45 minus two. This is inverse off the metrics a Now let's my deploy both the sides with a inwards. So we will get in verse. A X is equal itto a in worse be now a in what's a will Give us identity my tricks and identity. My tricks into X metrics will give us X is equal to a In worse is three My last 31 minus two to minus one minus 45 minus two. This is my deployed with B metrics and be matrixes minus three minus six minus 10. Now, by my tipping them, we will get X Met success minus 142 Therefore, the solution will be X is equal to minus one Isaac will do for and that is a kwaito too.


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