(d) Consider the system y+2x + z I+ 2y + 6z = 2 kx +2z = 1 %3D where k is an arbitrary coexistant. (i) For which values of k does the system have a unique solution? (ii) When is there no solution? (iii) When are there infinitely many solutions? 421

Q: 3. Investigate for what values of p and q the below system of equations has (i) no solution, (ii) a…

A: Case i) No Solution:For the system of equations to have no solution, it means that the equations are…

Q: dil Syster X1+X2-X3 = a 2x,-X2+X3 = b X1 -X3 =c (b)Based on your answer in part (a), determine if…

A: (a)  Given: a,b,c…

Q: Which of the following is the solution of the given system below? X1 + x2 - x3 + 5x4 = 0, 2x2 - x3 +…

A:

Q: (1) Using Gaussian elimination with back substitution, solve the following two systems of equations:…

A: Solve the System of linear equations, by using Gauss elimination method

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A:

Q: Find the solution of the following system using Gauss elimination. (Enter your answers as a…

A:

Q: Find the value of k such that the following linear system has infinite solutions. 3x-2y+z=0 8x-9y+…

A:

Q: Q1. For what values of k does this system of equations have a one /no solution? kx + y -z = 3 5x-ky…

A:

Q: 2y +3z 4y + kz

A:

Q: =- 2z = 2, -2v+z3D +z=

A:

Q: 11. Consider the following systems of equations. x2 + 2x3 = 30 x + 5x, + 3x3 2x1 + 3x2 + 8x, 12 (i)…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: 1. Show your work clearly: Find all value(s) of a for which the system of equations 2x + Y -4 | ax +…

A:

Q: Find all value(s) of k for which the following system have solutions. x + 2y + z = k² x + y + 3z = k…

A:

Q: Solve the system 13x1 19x2 + 140x3 + 11x4 16 %3D - 4x2 26x3 11x4 = - 14 - - 33x1 29x2 + 240x3 49x4…

A: The given equation can be written as:…

Q: How can x - 3 = x + 8 be set up as a system of equations? O 4y + 4x = -12 2y + 2x = 16 O 4y – x =…

A:

Q: Which of the following is the solution of the given system below? xị + x2 - x3 + 5x4 = 0, x3 + 7x4 =…

A: System of linear equations

Q: If the linear system has infinitely many solutions, then k - and h 3 x 3 x 3 x 3 y 4% 9y + 9z +9y +…

A:

Q: Give all values of k such that the system 3x + y + k²z = k² -6x + 3y + 2(k – k² )z = 10 – 2k² -3x +…

A:

Q: (e) Determine whether the following equations have no solution (inconsistent system), a unique…

A: A set of equations are given. We need to find out whether the given equations have no solution,…

Q: 7) Find the value(s) of k for which the system of equations below has a unique solution. 3x + 4y = 2…

A:

Q: x + 2y = 5 The following system x - 2y = 1 4x + 3y = 10 %3D has infinitely many solutions. True or…

A: False