Assuming that a #0 and 3 # 0, then the solution of the system 3ax + 3y = 2 2,8x - ay = 1 is... O O O O I ...I ...E ...I= 2a + ß 3a² - 2,8² 3a +23 2a² +3,8² 2a - B 3a² + 2,8² 2a + ß 3a²+2,8² and y and y= and y= and y = 43-3a 3a²-2,8² 3,3 + 4a 20² +38² 48 + 3a 3a²+28² 43-3a 3a²+28²

Q: 3. For what values of1 and u, the following system of equations 2r + 3y + 5z 9, 7x + 3y-2z 8, 2r+…

A: reduced the augmented matrix into row reduced form

Q: 3. (a 1)x₁ + 2x₂ = 0 2x₁ + (a1)x₂ = 0 Linear equation system is given. Find a for a) Infinitely many…

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Q: Q1) solve the system Ax=b by using LU factorization. A= [8 8 6 3] [3 1 7 1] [7 6 7 4] [9 6 1 8]…

A: We solve given system by LU decomposition.

Q: ) Describe the three possible solutions to a system of equations.

A: Solution of system of equations

Q: Solve the following system of equations using Gauss elimination method 2x+y + 2z+w=9, x+2y+3z + w =…

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Q: Consider the fold 2x₁ - 8x₁ 5x1 2 - 4x3 = 7 +6x3 = -3 + 2x2 -9x3 = 15 14 -6 +3x₂ +4x2 30 2X1 - 8x1…

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Q: 5x1 + 4x2 + X3 = 1 10x, + 9x2 + 4x3 = 3 10x, + 13x2 + 15x3 =-1 a) Check whether the system is…

A: Linear system of the form Ax=b where A is coefficient matrix and b is column vector. A linear system…

Q: Solve the system Ax=b using the given LU factorization of A.…

A: Given LU factorization of A.  A=6-235=101216-206 and b=012 We have to solve Ax=b.

Q: 4x + 4y + Z = 16 5x - 3y -27 5x +y+ 2z - 31 %3D N.

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Q: x₁ + 2x₂ + 3x3 = 6 2x13x2 + 2x3 = 14 3x₁ + x₂x3 = -2

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Q: Consider the linear system 4x1 − 7x2 = −33 −3x1 + 8x2 = 44 −3x1 + 7x2 = 37 Note that there are three…

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Q: 17. Consider the system x₁ + x₂ + x₂ = 2q 2x₁ - 3x₂ + 2x₂ = 4q 3x₁2x₂ + px₂ = 9 where p and q are…

A: Consider the system.where  are arbitrary constants. To find the values of  for which the system have…

Q: 1, = 2, =D4

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Q: 5. Let 0-2 1 -1 2-2 30 21 45 -4 4 -7 1 Find a PLU-factorization of A, and use it to solve the linear…

A: We have, Start from identity matrix  and identity permutation matrix Here, L is the multipliers used…

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: 9x2 + 4x3 = 3 3x2 + 15x3 = -1 consistent or inconsistent en find solution by Inversion Method using

A: The given system of equations are,  5x1+4x2+x3=110x1+9x2+4x3=310x1+13x2+15x3=-1 convert above system…

Q: Does the system AX=B have a unique solution if B =| 0 and det(A) +0 ? ... Justify your answer.

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Q: Solve the linear programming problem: maximize: x₁ - x3 subject to: and x > 0. x1 21 1 0 x2 1 2 -1 2…

A: Given:The linear programming problem is given by,Maximize: subject to:           and .To Find:We…

Q: -4x + 5y - 4z 21 -4y + 5z -9 -4z Find the unique solution to this system of equations. 4) Il ||||

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Q: b) Solve the Linear System in Z7 given by x + 3y + 5z = 1 4x + 6y + 2z = 4 2x + 6y + 4z = 6

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Q: -4x + y = 5 52. 6x - 2y = -9

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Q: The linear system below has a unique solution. By row reducing all the way to RREF (that is, no…

A: Here is the solution of the given problem. The given system has unique solution.  We solve this by…

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

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Q: solve the system Ax = b using the given LU factorization of A

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Q: 2. Describe the solution set in R³ of the linear system - 1, x1 + 3x2 + 5x3 = 2x1 + x₂ + 5x3 = 3,…

A: Linear equations are  x1 + 3x2 + 5x3 = -1 2x1 + x2 + 5x3 = 3

Q: Solve the system equation A) 2x-y+z=1 2x-3y-3z=5 2x+2y-z=-13 B) 3x-4y+2z=15 -2x+3y+z=-7 x-2y+3z=13…

A: