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Solve for U,X, Y, and in the given matrix equation_ 47...

Question

Solve for U,X, Y, and in the given matrix equation_ 47

Solve for U,X, Y, and in the given matrix equation_ 47



Answers

Solve each matrix equation.
$\left[\begin{array}{ll}{x} & {y}\end{array}\right]=\left[\begin{array}{ll}{y} & {4}\end{array}\right]$

So here were given a system of equations and what we want to do is write the argument ID matrix of this given system. So first off, we can look, and we want to figure out homemade variables we have. We have an X and A Y in the first equation and X in the light and second equation. Since there's only two variables, we're going to columns in the main part of our Matrix. Then we know that there's two equations. So where else going to Rose and the main part of our matrix start off by drawing a two by two matrix like so this three goes here. This four goes here. This four goes here. This negative two goals right there. Now we want to indicate these are multiples of excel. My, So we draw to by one matrix x there. Why there? And it has to be said equal to something. It said that set equal to the constant off seven and five

All right. What home? In my first Yeah, or wise from the second division needed to lies. And my answer is

Hi. So, for this question, we are asked to write down the augmented matrix for this system of equations. Now, let's see how many variables we have here in both of these equations. We have two variables X and why? So we're gonna have a column for Exxon are augmented metrics and a column for why, and one for Constance. So let's go ahead And input are coefficients and constants into this. These columns. So firstly, we have the coefficients for X. So in the first equation, we have three as a condition for accent. In the second equation, we have four now. Similarly, for why, In the first equation, we have four as a coefficient for why, in second equation, we have negative too. Now, for Constance. In the first equation, we have seven. And in the second equation, we have five. So now we're gonna go ahead and draw that off meant line here on the matrix brackets. That's our augmented matrix. So all we did here was simply input the coefficients and constant from the first equation into the first row and the second equation into the second. So there you have it

As in discussion, we have given some equation two X minus Y is equal to seven and also X plus four by physical pu minus five. So we have to convert these equation in all mental. My tricks form so most of what we have to write the completion of that even that this coefficient of X and by that this door minus 11 And okay, so we will write Costa coefficient off variable then after give are separating them. We even buy the constant. I'm giving here a seven and minus fight. Okay? And this is called the augmented matrix. This is called called me Make clicks Okay. And you can see here we have separated the other coffee shamed and constand. So if I separate, here s so this will be as called there the metrics do one, my next one. Okay, So augmented matrixes bag my tricks of its contains coefficient of variable and also consent, Um, and a matrix of which contains Onley coefficients. So this matrix is called coefficient matrix. Okay, so this matrix with beers proficient matrix and which metrics includes coefficient and also constant time that this call augmented Michael exit is represented as about Okay,


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