The network below is a proposed system for the flow of hydrocarbons through pipes in an oil refinery, mcasured in . 2 a. Set up a linear system to solve for the missing flows. (Hint: What does conservation of flow tell you about the flow into and out of a node?) b. Write the augmented matrix of the linear system that you found in part a and reduce it to RREF. c. Should the company use this proposed system? (Hint: What does the rank of the augmented matrix and coefficient matrix tell you about the linear system?)

Q: Consider the augmented matrix of a system of linear equations in four unknowns x1,X2,X3 and x4. 1 2…

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Q: Provide an augmented matrix of a system of linear equations having exactly the following solution:…

A: We want to find the augmented matrix for the given system of linear equations.

Q: 2. Set up the following problem. Make sure to define your variables, write a system of equations and…

A: Answer is mentioned below

Q: The following augmented matrix is in row-echelon form and represents a linear system. Solve the…

A: Given query is to find the solution set for the given system.

Q: .

A: Given augmented matrix can be reduced to

Q: 1. Find the general solution of the system whose augmented matrix is given below. 1 3 4 7 3 9 7 6.

A: The augmented matrix of the given system is: 13473976

Q: Consider a linear system whose augmented matrix is 1 1 3 1 1 2 -3 -3 4 11 k -23 For what value of k…

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Q: 7. The University of Texas at Austin has three times as many students enrolled as the University of…

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Q: Find the general solution of the system whose augmented matrix is given below. 1-22 -1 0 3 Select…

A: Solve the following

Q: Find the general solution of the system whose augmented matrix is given below. -5 2 0 6 - 10 4 0 9 -…

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Q: (a.) 1 0 0 0 1 0 0 1 0 0 0 1 0 -1 3 (ь.) 1 -1 0 1 0 0 0 0 2 02 -2 03 0 1 1 0 0 5 (c.) -1 0 2 0 1 0 1…

A: a) The system is consistent    x1=5    x2=-1    x3=3

Q: Given the following augmented matrix which represents a linear system, solve the linear system for…

A: Given: 1-1-6|02-1-9|20  1  3|2

Q: or the next three parts of this question, consider the linear system + 2x2 + 2x4 1 -x1 2x2 X4 2 2x1…

A: In the given question we have to write the agumented matrix of the system of equation, solution of…

Q: A linear system is inconsistent if and only if its augmented matrix has a row of the form [00... 0…

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Q: Consider the following network: B- А 6. (a) Write down a linear equation for the flows at each node…

A: a At  A:     6=x+y⇒x+y=6     At  B        y+z=7     At   C    3+w=z⇒z-w=3   At  D…

Q: Consider the following linear system: x2 + 2x3 + x4 -1, -x1 + x2 – x3 – 2x4 2.x1 + x2 + 8x3+ 7x4…

A: F) determinant of  matrix   Det(A) =0     G) Null space

Q: a concession stand at a city park sells hamburgers, hot dogs, and drinks. Three patrons buy the food…

A: Given Information -  Three patrons buy the food and drink combinations denoted in the following…

Q: Given the following augmented matrix which represents a linear system, solve the linear system for…

A: Here we need to convert the matrix into reduced row echelon form and the compare the ranks.

Q: Find the general solution of the system whose augmented matrix is given below. 1 4 2 3 4 16 5 0…

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Q: We have the following linear system. -c, + 3c2 - C4 = 0 C1 + 2c, = 0 -2c, + c2 - 3c3 - 4 = 0 2c, +…

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Q: (a) For matrix A = C ), if g(X) = x² + 4x + 2, what is the answer to g(A)? (b) Using algebra, find…

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Q: Suppose each matrix below represents the augmented matrix for a system of linear equations. For…

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Q: A local zoo is trying to decide how many lions, tigers, and bears to get. The number of tigers…

A: Given that A local zoo is trying to decide how many lions, tigers, and bears to get. The number of…

Q: Suppose that a linear system has its augmented matrix as follow 1 2 hk 1 -1 2 -1 0 What is the value…

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Q: Find the general solution of the system whose augmented matrix is given below. 1 42 3 12 3 -6 Select…

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Q: Find the general solution of the system whose augmented matrix is given below. [:) 2 4 4 Select the…

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Q: Find the general solution of the system whose augmented matrix is given below. 1 -9 0 - 1 0 - 6 1 0…

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Q: Given the following augmented matrix which represents a linear system, solve the linear system for…

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Q: The augmented matrix of a linear system has been reduced by row operations to the form shown.…

A: System of Simultaneous Linear Equations: Let us consider the following linear system of m equations…

Q: .

A: Given ,            12102530-11β0

Q: Suppose that the augmented matrix of a system of linear equ 7 1 -2 7 7 -2 4 2 -8 7 7 | Solve the…

A: The agumented matrix,1-27474-24-72-724-877

Q: A system composed of two industries, coal and steel, has the following input requirements. (a) To…

A: Given the input requirements. (a) To produce $1.00 worth of output, the coal industry requires $0.20…

Q: Find the general solution of the system whose augmented matrix is given below. 1 -9 0 -1 0 -5 1 0 0…

A: the given augmented matrix is

Q: Give an example of each of the following or explain why no such example can exist: (c) A consistent…

A: A system of equations is consistent if it has at least one solution. The rank of a matrix is the…

Q: Find the general solution of the system whose augmented matrix is given below. 1 10-1 21 0 -6 Select…

A: We will apply elementary  row operations to the given augmented matrix  and find the solution by…

Q: 5. Find an equation involving g,h, and k that makes this augment matrix corre- spond to a consistent…

A: Linear system in form of  Ax=b where 'A' is coefficient matrix and 'b' is column vector…

Q: farmer maggot bought 40 bushels of wheat, 24 bushels of barley, and 20 bushels of oats for $354.85.…

A: I have Provided this answer in step-2.

Q: The following augmented matrix is in row-echelon form and represents a linear system. Solve the…

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Q: Find the general solution of the system whose augmented matrix is given below 10 -8 0 -5 2 7 -1 0 1…

A: Augmented matrix is similar to the coefficient matrix, but in…

Q: Find the general solution of the system whose augmented matrix is given below. 1 -5 3 1 - 1 1.3…

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Q: On Monday, Sarah picked up lunches for her friends and spent $17.30 on 3 tofu banh mi and 2 bubble…

A: Let the cost of  i tofu banh mi and 1 bubble tea be x and y respectively in dollars . Now,cost of  3…

Q: whose augmented matrix is

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Q: The following linear system with corresponding augmented matrix is consistent. B1 -1 0 O True O…

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Q: Which of the following is the augmented matrix for the linear system 2х — у + 32 — 0 - 2x + y – 2z…

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Q: Consider the tollowing system of equations and its graph: –4x +y -17 3x + 2y 10 18 16 14 12 10 8. 4.…

A: The given system of linear equation -4x+y= -17  3x+2y=10  We have to fine the value of (x,y) .

Q: Suppose that a system of equations has the augmented matrix [: 1 h 3 -10 k If the system is…

A: We know that a system of equationsa1x+b1y=c1a2x+b2y=c2is inconsistent if, a1a2=b1b2=c1c2The given…

Q: Provide an augmented matrix of a system of linear equations having exactly the following solution: x…

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Q: Find the general solution of the system whose augmented matrix is given below. 1-5 0-1 0-2 0 10 0-4…

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Q: Find the general solution of the system whose augmented matrix is given below. 1 -20 - 1 0 - 8 1 0 0…

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