2) Is there a choice of rational numbers a, b, c, d for which the linear system has no

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A: The system of equations is defined as it contains two or more equations and seeks common solutions…

Q: What is the solution set for the folowing system of equations? x2-y-4 y 3x A) (-4,12) and (-1,-3) B)…

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Q: 42. xj + 2х2 - 2х3 + 2x4 2x1 X2 + 3x3 + x XX 3x1 - -X1 x₁ - + 3x2 - 2х3 + - - - 2х2 + X3 +3 - - -…

A: The given system of linear equation is…

Q: -x - y + z = 2; 3x – y – z = 0; 2x + y – 3z = 2 2x – 4y + z = 3; &x – 2y + 4z = 7; –4x + y – 2z =…

A: Option D 2x+y-3z=0, 4x+2y-6z=0, x-y+z=0

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Q: The system of linear equations: X1 + 2x2 + 3x3 = 2 X1 – x2 + 2x3 = 1 Select one: О а. is an…

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Q: 3. Determine the line of intersection of each system of equations. a) 2x + y - z = 3 x + y = 2 x=z=1…

A: Please see the below picture for detailed solution .

Q: 2) Describe the set of solutions to this system of linear equations: w+x +z-0 +y+z= x+y -1 +2-1

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Q: Compute the dot product u v. 11) u- o v A) 30 B) 23 9 18 D) 0

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A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: For each system below that is linear, determine whether it is consistent. (a) 5x1 – x4 = 3 5x1 + 5x2…

A: A system is consistent if system has at least one solution.

Q: There exists a system of three linear equations with three unknowns that has exactly four solutions.…

A: There exists a system of three linear equations with three unknowns that has exactly four solutions.…

Q: A church ordered 35 pizzas (large and small) for a youth party. Each large pizza has 12 pieces and…

A: Let x represents number of large pizzas and y represents number of small pizzas

Q: 28. Show that the system x₁ + x₂ + x3 = y1, 2x1 + 3x2 + x3 = y2, 3x1 + 5x2 + x3 = y3, has an…

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Q: Given the following linear system x1 + 2x2 - 2x3 = 3 2x1 +3x2+2x3 = 2 -4x₁1 - 5x₂ - 10x3 = h

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Q: Rewrite the system of inequalities, adding x1 + X2 + x3 < 50 slack variables or subtracting surplus…

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Q: Show that the linear system Ax b has a solution if andonly if b can be written as a linear…

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Q: If (a, b, c, d) is a solution to a linear system, then the equations of the linear system have at…

A: (a,b,c,d ) is a solution to a linear system, Then (a,b,c,d) ∈ R4

Q: 17 3x1 + 6x2 2x2 X3 X4 - + 5x3 13x4 -4 2x3 X4 -11 If your answer includes any arbitrary parameters…

A: given that we have to find the solution of given system of equation

Q: For each one of the following systems of linear equations: I) 20 8x1 + 3x2 12.x2 + 6x3 X1 + 10r3 30…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the system of linear equations x1 – kx2+ k²x3= 0, X1 +kx3= 0, X2 -X3= 1. Determine all…

A: Given system of linear equations is  x1-kx2+k2x3=0x1         +kx3=0   x2      -x3  =1 we have to…

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Q: *1 – 2x2 + x3 – ¤4 = 2 x1 + x2+ x3 – x4 = 2 + x3 – X4 = 2 How many free variables does it have? (a)…

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Q: iii. Find the value of h, if the given linear system of equations: x₁-4x₂ = -2, 3x,-12x, = h, is…

A: Given :x1-4x2=-23x1-12x2=h

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Q: Give an example of a system of n linear equations in n unknowns withinfinitely many solutions.

A: The system of n linear equations in n unknowns has infinitely many solutions if  any two of the…

Q: 3. What is the solution to a system with parallel lines?

A: As parrallel lines never cross ,and there is no interaction between them

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Q: 4. Consider the 2×2 linear system: a₁₁x₁ + a₂₁₂x²₂ =b₁ a₂₁x²₁ + a₂₁x₂=b₂ Using an xy-Cartesian…

A: