5. Consider the linear system shown where a, b are constants: x+2y+z= 3 ay + 5z = 10 2x + 7y+az = b Answer each of the question below, and include some computations/explanation for your an- swers. a) Use Gaussian elimination to transform the linesr system into an upper triangular system b) What values of a and b give exactly one solution to the linesr system? Explain c) What values of a and b give more than one solution to the linesr system? Explain

Q: (12) Describe each system of planes. If possible, solve the system. a) x + 2y + 3z = 4 2x = y + 4z =…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1. Consider the linear system x+y=6 3x - y = 2 (a) Express this linear system as a vector equation…

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Q: III. Solve the following linear systems using any method: 2x1 + 4x2 + 6x3 = -12 x1 + 2x2 = 8 a) 3x1…

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Q: Consider the following system of linear equations: x1 – 2x2 + x3 = 2 - -2x1 + 5x2 – 3x3+2x4 = – 1 Xi…

A: Topic-matrix solution and Gaussian solution of equations

Q: The system of linear equations is presented below. -5+ 3y = -72-x 2x-9=-3z+y 42-2y + 4x-14=0 a)…

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Q: 1. Given: 3w+8x18y + z w + 2x - 4y w + 3x - 7y + z = 35 = 11 = 10 a. Give the augmented matrix of…

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Q: 1. 2. 3. 4. Write the system as Ax = b and form the augmented matrix (Alb) ) Calculate det(A) and…

A: Since there are multipart as well as multiple questions, so here the solutions of the system-1 from…

Q: Q5: Find the solutions of the system if possible a) 4x+2y+z=8, x+ y+ z=3, 3x+y+3z=9 b) For 1.5x-…

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Q: Solve the system using Gaussian elimination or Gauss-Jordan elimination. 11) x - y + 2z = -1 x + 4y…

A: I have solved using gauss Jordan elimination

Q: 3. Same question for and the choice b = (³). 2x-y-z = b₁ x + 2z = b₂

A: