22 For what values of a and b the following system has (1i) unique solution (i) infinitely many solutions (ii) no solution: x, +x, +x, =6 x, +2x, +3x, =10 X, +2x, +ax, =b %3D

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Q: 1 Choose h and k such that the system has (a) no solution. (b) a unique solution (c) many x + hx, =2…

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Q: For what value of k the following system has (i) trivial solution (ii) non-trivial solution: x+3y+2z…

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Q: 2. Consider the system I1 + hrz = 2 411 + 8r2 = k. Choose h and k so that the system has (a) no…

A: Recall:     Consider the linear system         ax+by+c=0      dx +ef +f =0 Here a,b,c,d,e,f are all…

Q: 1) In the following linear system, determine all values of a for which the resulting linear system…

A: Write this equation in matrix form Do Row transformation and apply condition for no solution, unique…

Q: Let b ER. Consider the following system: x+y+z=-1 4x + 2y + z 3 9x + 3y- b Using Gaussian…

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Q: a) For which value of k, the system is homogeneous ? a -4x+3y+2z = k2-11k+30 2x-5y-5z k- 25k…

A: First we find value of k for homogenous system taking right hand side of given equation equal to…

Q: 1. Use Gaussian elimination to find the solution for the given system of equations. x + y + z = 3 x…

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Q: for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and…

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Q: Consider the system kx + y + z = −2 x + ky + z = 1 x + y + kz = 1 For what value(s) of k, if any,…

A: The augmented matrix is: A:b=k11:-21k1:111k:1 Convert the above matrix in Echelon form,…

Q: 4. If (x, y, z) is a solution to the following system of linear equatio 2x – 4z = -10 x + 3y + z = 4…

A: Solve the system of equation

Q: For what value(s) ofk, if any, will the systems have (a) no solution, (b) a unique solution, and (c)…

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Q: 2. For what value(s) of k will the following linear system have a unique solution? kx + 2y – z = 5 х…

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Q: (a) Consider the following system : x + 2y + z = 3 ay + 5z = 10 2x + 7y + az = b (i)Find those…

A: The system of the linear equations has a unique solution when the lines corresponding to the…

Q: 6. How many solutions does this system have? b) 1 d)i 10x - 7y=10 4x + 5y = 12 a) 0 c) 12 Ho…

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Q: find the general solution of the given system of equations.8.x′=⎛⎜⎝324202423⎞⎟⎠x

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Q: 1. For which values of k will the following system have no solution? Exactly one solution?…

A: Given system is  x+ky-2z=0x+2ky-2z=5x+ky+k2-3kz=k-1 The co-efficient matrix corresponding to the…

Q: For what value of k the following system has (i) trivial solution (ii) non-trivial solution: x+3y+2z…

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Q: 1. For what value of a the following system has (i) no solution (ii) unique solution (iii) many…

A: Given:  1212-23123-a2 xyz= 31a by using the row transformation we can convert the matrix into row…

Q: For what value(s) of k, if any, will the system have no solution, kx + 3y = 2 3x 9y = -6 %3D - (a)…

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Q: 11. Find the value of k such that the system X, - x, + 2x, = -4 %3D X +x, +kx, = 4 (-x; +kx, + x, =…

A: Given system of equation is x1−x2+2x3=−4x1+x2+kx3=4−x1+kx2+x3=k2.....1 Now, write the given system…

Q: Determine for what value of' k' the given system x + 2y -z = 1 x + 3y + z = 1 - 4x - 5y + (k²- 9)z =…

A: Let us consider a system of equation  a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3 To determine…

Q: 5. Use Gaussian elimination to determine the solution set to the given system. 2x + y – 3z = 1 - 5x…

A: We use Gaussian elimination, also known as row reduction, is an algorithm for solving systems of…

Q: 4. For which values of a will the following system have (a): no solution, (b): Unique solution, (c):…

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Q: For the following system of homogenous linear equations: x-y+8z= 0 -x -3z= 0 2x+y+z= 0 Use…

A: The answer is-

Q: For only one value of a the following system does not have a unique solution. Find the exceptional…

A: For. Not quniqe solution a1/a2=b1/b2. Accodingly find the value of a. Now... Put the value of a and…

Q: -n 4. Consider the following system of linear equa ky + 3z = -2 5y + 3z kx 7 %3D kI + y 6z 2 Find…

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Q: 8. How many solutions does the following system have? 3x+2y =1 -9x-6y =3 O infinitely many solutions…

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Q: 4. Find the general solution of the given system: dx1 dt dx2 dt = = = 7x1 +4x2 -3x1-x2

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Q: The population y in the year x of the counties listed is approximated by the given​ equations, where…

A: The solution to the system of equation can be obtained by comparing the equations to each other. The…

Q: Consider the following system in unknowns x, y, z : x – 2y = 1; x – y + az = 2; ay + 9z = b. For…

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Q: 1. Use Gauss Elimination or Gauss-Jordan Elimination to solve the given system. And how many…

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Q: (a) Consider the following system : x+2y + z = 3 ay +5z = 10 2x + 7y + az = b ()Find those values of…

A: Given the system is  x+2y+z=3ay+5z=102x+7y+az=b (1) We can be write in matrix form this way, we get…

Q: (3) Find the value/s of a that makes the system has (a) unique solution (b) No Solution.

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Q: Consider the following system. -x+y+2z= -3 2x-y+z = 5 5x- 2y+ 5z = 12 Choose the best description of…

A: In this question , we can solve the given system of equations. Firstly eliminate 'x' by using these…

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

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Q: 4. For which values of a will the following system have (a): no solution, (b): Unique solution, (c):…

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Q: - Find the values of a and ß so that the following system of equations has: x + ay +z = 3; x + 2y +…

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Q: Consider the following system of linear equations in variables x, y, and z: + 2y 3z 1 kz 2 ky + -1…

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Q: 8 - Solve this system of equations and comment on the nature of the solution using the Gauss…

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Q: H.W 4-Solve the given system of equations by Gauss elimination. 3 05 X1 4 0 3 0 -2|X1 1 4 0 2 X2 12…

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

Q: 1. Find all values of k such that the following linear system has no solution. x + 2y + 3z = 2 2x +…

A: Solve by Matrix method

Q: 1. Find all values of k such that the following linear system has a unique solution. x- 3y + 2z = 4…

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Q: 6 Choose h and k such that the system has a) no solution, b) a unique solution, and c) infinitely…

A: We need to find the values of h and k for each case.

Q: 1. For which values of a will the following system have (a): no solution, (b): Unique solution, (c):…

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: Consider the following system: x + y+ 3z = 0 2x +y+ 4z a (3x+y+5z 2 , a ER Using Gaussian…

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Q: for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and…

A: Given- x+ky=1 and kx+y=1 To find- The values of k for which the systems have (a) no solution, (b) a…

Q: 5. Find the value of k that makes the system dependant (i.e. there are oo many solutions) = 4 (a) 3x…

A: Just I have used the fact two lines are dependent if they represent the same line and easily find…

Q: For what value(s) ofk, if any, will the systems have (a) no solution, (b) a unique solution, and (c)…

A: We have given system of equations x+y+kz=1x+ky+z=1kx+y+z=-2 The augmented matrix of the given…