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Answer the following uCStIOs: points By converting the following sytem raduced roY echalon fOrm state tne slutionaugmented matrix and rexlucing2y + 2 = 22 = ~ 4r +...

Question

Answer the following uCStIOs: points By converting the following sytem raduced roY echalon fOrm state tne slutionaugmented matrix and rexlucing2y + 2 = 22 = ~ 4r +54 - : = -9and write the solutionDHTAIEtTIC form if itinfinite:points) Two studentsTere AI' Aikeointerpret the solutionthe following:8Each student states Student A: Mmhe system slution due the second rur Student B: "Me System has infinite solutions due the third row Which student corteCt AId why"point )SISLEILthree vari

Answer the following uCStIOs: points By converting the following sytem raduced roY echalon fOrm state tne slution augmented matrix and rexlucing 2y + 2 = 22 = ~ 4r +54 - : = -9 and write the solution DHTAIEtTIC form if it infinite: points) Two students Tere AI' Aikeo interpret the solution the following: 8 Each student states Student A: Mmhe system slution due the second rur Student B: "Me System has infinite solutions due the third row Which student corteCt AId why" point ) SISLEIL three variables has DCEn reduced IAtTIX formn Tran-late the solution parametric IOTII



Answers

Solve the system of equations using an augmented matrix. $$ \begin{aligned} x+3 y+2 z &=4 \\ 3 x+10 y+9 z &=17 \\ 2 x+7 y+7 z &=17 \end{aligned} $$ Solution: $$ \begin{array}{c} \text { Step 1: Write the system as an } \\ \text { augmented matrix. } \end{array}\left[\begin{array}{ccc|c} 1 & 3 & 2 & 4 \\ 3 & 10 & 9 & 17 \\ 2 & 7 & 7 & 17 \end{array}\right] $$ $\begin{aligned} \text { Step 2: Reduce the matrix using } &\left[\begin{array}{lll|r}1 & 0 & -7 & -11 \\ 0 & 1 & 3 & 5 \\ 0 & 0 & 0 & 4\end{array}\right] \\ \text { Gaussian elimination. } & 0 \end{aligned}$ Step 3: Identify the answer: $\quad x=7 t-11$ Infinitely many solutions. $\quad y=-3 t+5$ $z=t$ This is incorrect. What mistake was made?

They said, This is our question number two. As you can see for the attorney in question here, variable aesthetes missing. Right. So here we can write zero eyes right now, right? The augmented metrics for the U. N. System of immigration. Now here coefficient off our s anti. That is three one and do and on the right side. Really won. Now, for the second question here, proficient off Paris anti That is negative to negative one and one Your negative to never 81 1 And on the right side, we hear one of the three for the thorny question Your coefficient of Paris anti that is 40 and two. Your 40 into and on the right said we have negative toe. But this is the moment and metrics. Thank you.

This is a question Number 41 now Door deflection. We need to multiply euro two by two. Right here. You know, to my deep night do for your first entry. Sorry, First Roy's has the deuce. Now, your three year two by two. That is making for here, too. And here, nobody to. You're Conroy's allergies. Now they want to make zero and get here. Oppression is too minus one. And following this injury or probation is our three Les two times. Everyone. Were you ever? Two immunity for two. Your return limited to No, we're three minus trees. You know, more minus for is you know, tu minus to receive a and do minus two me seal. You're six minus 608 to minus a judo for my next 40 And all of my nest will reseal. Right. But you can say there is no my would entry at the second and told column. So the system is coincident dependence on the solution. Said this during bright x y that where three x negative for why Class two. That is a core dude. Minus true. You're right. And that can be 10 years ago. Number. Thank you

This is a question Number 41 now Door deflection. We need to multiply euro two by two. Right here. You know, to my deep night do for your first entry. Sorry, First Roy's has the deuce. Now, your three year two by two. That is making for here, too. And here, nobody to. You're Conroy's allergies. Now they want to make zero and get here. Oppression is too minus one. And following this injury or probation is our three Les two times. Everyone. Were you ever? Two immunity for two. Your return limited to No, we're three minus trees. You know, more minus for is you know, tu minus to receive a and do minus two me seal. You're six minus 608 to minus a judo for my next 40 And all of my nest will reseal. Right. But you can say there is no my would entry at the second and told column. So the system is coincident dependence on the solution. Said this during bright x y that where three x negative for why Class two. That is a core dude. Minus true. You're right. And that can be 10 years ago. Number. Thank you

Did his are question or more? 43 now to allow infection. Oh, we need to Monte prior or three by two. Right? Your attorney multiply by two of your postural and second bones are entities. Now they want to makes zero for here. Right? Storeroom. Creationists are three minus one. So here to minus 201 minus 103 minor, 30 and 10 minus one. That is mine. Right? So on the hydro we can write any gration that he's Ciro X. But Syria. Why last heroes And his equal nine. Right. You're zero x zero through always also zero and zero. That is also 0.9 right, hero Placido. Placido. It cannot be equal. Do nine, right. We consider that the system is inconsistent and the system s no solution. Thank you.


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