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Let u =and w =55 38It can be shown that Su - Zv - w=0. Use this fact (and no row operations) to19 55find X1 and Xz that satisfy the equation -238X2 Simplify your an...

Question

Let u =and w =55 38It can be shown that Su - Zv - w=0. Use this fact (and no row operations) to19 55find X1 and Xz that satisfy the equation -238X2 Simplify your answers.)

Let u = and w = 55 38 It can be shown that Su - Zv - w=0. Use this fact (and no row operations) to 19 55 find X1 and Xz that satisfy the equation -2 38 X2 Simplify your answers.)



Answers

Let $\mathbf{u}=\left[\begin{array}{l}{7} \\ {2} \\ {5}\end{array}\right], \mathbf{v}=\left[\begin{array}{l}{3} \\ {1} \\ {3}\end{array}\right],$ and $\mathbf{w}=\left[\begin{array}{l}{6} \\ {1} \\ {0}\end{array}\right]$ It can be shown that $3 \mathbf{u}-5 \mathbf{v}-\mathbf{w}=\mathbf{0} .$ Use this fact (and no row operations) to find $x_{1}$ and $x_{2}$ that satisfy the equation
$$
\left[\begin{array}{ll}{7} & {3} \\ {2} & {1} \\ {5} & {3}\end{array}\right]\left[\begin{array}{l}{x_{1}} \\ {x_{2}}\end{array}\right]=\left[\begin{array}{l}{6} \\ {1} \\ {0}\end{array}\right]
$$

Given as you because what? Oh, three and minus one. So that is equal. Do Ari bless a w Receiving us are we's do gamma. One plus is into one country. So this is given us minus Saudi. This is three and minus one, which is equally. Do you are on our class is on three years. This is given as three I minus j equal you are I blessed Jane, you are. Bless is I blast three years J no, we end up great, huh? Do it increases that is three wells 21 blast is on DDE minus one equals our last three is This is our first equation. This is our second equation. Now we will do replied this situation with 100 applied this to prison, right? You to eliminate the variables. Therefore we have three was to our plus is on this is minus two equals to our class. Six days we subject this, but this gathered sort has become five equals minus five is therefore is egress minus splash it is known. Therefore we will put it immigration one and we have to minus one. So this is 40 points to our therefore articles too. Now we often this and odd. Therefore, we have you eat us free and minus one. Did this? People do Do do. Come on. One minus one into one from a tree. This is equal. Do four. Come on. Two minus or displeasure minus one comma minus three. So morality becomes three comma. My next one on DDE for sketching this. You We have a job. First of all, the coordinates. Yeah, we have this as extraordinary. This is white. Got nowt on Will draw three comma minus for those days. Three. This is madness. So the, uh, director is here, it's gonna do me like this. This is our director, which is three Comma, my last. No, no. So this is the answer to the given problem. Oh, we can see this is our w vector on DDE. This is our Viv actor. So we have this this as a murder free on minus one. Richie's director. You

Yeah, for the givens. A public Mary Questions. We can write this inland Augmented metrics One, It will have something minus three. You see those two? My next to one. So you know I find this one four people one by next to on minus 110 My next one on the side will have. What do you want? Minus started to help. Minus it Now, when you from this moment on my face in the matrix happen will take off Graphing utility It returns the final off mental metrics using some raw presence. But you have friends You go home to go to go you go trick or treat Wanjiru little through the Roman on Decided to help while judo 123 And as you Quincy the left tension metrics with the identity matrix here so we can say that exited for fight Why? For the judo is that difficult? Minus two And a musical took three even by these phone numbers

We have a system of linear equations, and we want to write an augmented major exporting. So just start making a Matrix way. Have four variables after school will be. That's every variable. So looking at the coefficients we have zero. What? That's too. Second column will be the ex terrible, efficient seven five, minus one and minus two. That's cold Boy of One states. We have one minus one and 11 off column is set, and for that we only have 1000 when our final column that makes this the augmented matrix is the right hand side. So we have three, five, 17 and four that complete specimens of matrix.

We want to find why in this system of equations, using Cramer's rule is the first one to cover that determined the coefficient matrix. The coefficients are two negative one for negative 11234 negative two. Doing this by hand over the calculator, you'll you'll find this determinant is -52. Then we want to find why. So by Cramer's rule, why is equal to the determinant, replacing the Y column with the Uh constance 15 5 and four. And we have the X column and the Z column of coefficients. So that determined over negative 52 D. And this calculates also to negative 52 over negative 52 which is one million Y is equal to one. All right.


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