Q2/ Find values for h and k for which the following system has (a) infinitely many solutions; (b) no solution at all. 2x + hy = 8; Ans.: (a) h6 k4 X+ 3y -k (b) h-6 k4

Q: 2. Solve the following system of equations. 3x – y +z = 4, x + 2y – z = 2,5x + 2y - 2z = 3 Meeting…

A: Given system of equations3x−y+z=4x+2y−z=25x+2y−2z=3Here coefficient…

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

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Q: Q1//Solve the system by using Crammer's rule 5x-y+2z=1 y+x-z 0 X-y=3

A: Using Crammers Rule to solve simultaneous equations.

Q: What value of t ensures the following system of equations has infinitely many solutions? ... 3r + (*…

A: Given system of equation is 3x + (t2 - 4)y = 1ty = 2

Q: Q2. Solve the following system by Gaussian elimination: 2X + Z = 1 X + Y +4Z = 0.

A: Given :2X+Z=1X+Y+4Z=0

Q: 3. Find the general solution of the system given by Y2 + Y3 Yı + Y3 (3) y3 = Y1 + Y2

A:

Q: By using back-substitution to solve the systems – y = -1, 2y + z = 2, 2x – y – 3z = 3;

A:

Q: 9. Solve the following system of equations: x + y –1= 0 2x – z - V5 = 0 -2y + z - V5 = 0

A: Find your answer below

Q: Determine all values of hh and kk for which the system has no solution.

A: Our Aim is to determine all values of h and k for which the system of equations has no…

Q: 1. Solve the system by Gaussian elimination x+y-5z =-18 3x-3y+z 6 x+3y-2z = -13

A: Consider the given system x+y−5z=−183x−3y+z=6x+3y−2z=−13.........1 We have to solve the given system…

Q: X1 + hx2 = 3 5x, + 10x2 = k %3D

A: Solution

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

A:

Q: Which of the following is the solution of the given system below? ... x1 + x2 - x3 + 5x4 = 0, x3 +…

A:

Q: For which values of a will the following system have no solutions? Exactly one solution? Infinitely…

A: The given system is,x+2y-3z=43x-y+5z=24x+y+(a2-14)z=a+2

Q: 5. Solve the following system of linear equa 2x + y + 4 =

A: calculate the matrix of determinant D D=21110-226-24=2-8+4-140-12+1-20+12=2-4-128+1-8=-8-28-8=-44…

Q: Q1: Solve the linear system using Crammer rule: 2x + y + 2z = 4 x – 2y + 3z = 9 y - z = -3

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Find the general solution to the system X' = AX, where A = 2

A: first find the Eigen value of the given matrix A=21502 the characteristic polynomial is…

Q: b) Consider the following system of linear equation: y+rz = s x-2y+z=5 x+ y+z =1 What is the value…

A: Given system is y+rz=sx-2y+z=5x+y+z=1 Matrix form is 01r1-21111xyz=s51 which is in form of  AX=b

Q: Find the value of ‘k’ for which the system of equation has infinitely many solutions 2x + (k – 2) y…

A: given:

Q: The following system of equations x+y+z= 3, x+ 2y +3z = 4, x+ 4y + kz = 6 has infinitely many…

A:

Q: Determine the value of k for which the system has no solutions. 2.x ty +2z +2y +6y +kz = 1 3

A: Please see the below picture for detailed solution.

Q: For what values of k does the system x + 2y = 2– k 3x + (k+7)y=9 a. have unique solution? b. have…

A: Given x+2y=2-k3x+k+7y=9

Q: ) Discuss the relationship between the number of solutions of the following system and the constant…

A:

Q: For which values of k the system 21 + 2x2 + kaz +3x4 k a1 + 2x2 + kr3 + 3r4 = 0 has infinitely many…

A:

Q: What value of t ensures the following system of equations has infinitely many solutions? 3x + (t² –…

A:

Q: Consider the system x + 2y – 3z = 4 %3D 3x – y + 5z = 2 | 4x + y + (a² – 14)z = a + 2 where a is an…

A:

Q: 11. Solve the system using Gauss-Jordan Elimination, by hand. -x+ 2y - 3 3x - y-1 (6)

A:

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: 7. Determine the x-value in the solution to the following system of equations. S2x – 3y = -1 l y =…

A:

Q: Consider the following system of equations. 3x + 2y 1 4x + 7z 1 x+y +z = 3 x- 2y + 7z 0 The number…

A:

Q: The following system of equation has: x- y- z 4 2x - 2y- 2z 8 5x - 5y- 5z 20 a) Unique Solution b)…

A: Given that: x-y-z=42x-2y-2z=85x-5y-5z=20

Q: Consider the system: x+ 2y + 3z = 9 2x - y +z = 8 3x + 2y + (a2 –1)z = 6a %3D - Find all values of a…

A:

Q: 2. Determine the solution of the system of equations [a][x]=[b] using the Gauss elimination method,…

A: In order to solve a system of equations we first write the equations in matrix notation and then we…

Q: Q2: For what values of k does the system 8х + 9у + 4z %3 - 1 6x + 5y + 6z = -10k 4x + у+82 3 4k2…

A: Here, we have, 8x+9y+4z=-16x+5y+6z=-10k4x+y+8z=4k2 The above equations are written in the matrix…

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

A:

Q: 2. Determine the solution of the system of equations [a][x]=[b] using the Gaus elimination method,…

A: The solution is given as

Q: 1-) x+2y+z=5 2x+5y+3z=14 -x-3y+z=-6 Solve the system of equations by "Gauss " elimination method by…

A:

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

A: x1+x2=52x1+4x2=KThe above system of equations can be expressed in matrix form as :AX=Bwhere…

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

A: The given system of equation is,x1+hx2=43x1+6x2=k

Q: Solve the system by using either the substitution met system is dependent, enter INFINITELY MANY for…

A: Apply elimination method in above expression 4x-y=-17.........equation 17x+4y=-21.......equation…

Q: 5.x-2y+z=0 2x+y=3z=5 4x - 7y+z=-1

A:

Q: For which values of a will the following system have no solutions? Exactly one solution? Infinitely…

A: Te augmented matrix of the given system can be written as: 12-33-1541a2-1442a+2Apply R3-3R1,…

Q: Find the solutions to the system of nonlinear equations given by: y = x +13 Sy3= x + y2 85 %3|

A: We need to solve y=x+13, x2+y2=85. So,        y=x+13x2+y2=85Plug the solutions y=x+13 into…

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

A: Given: the system of equation x+2y-3z=43x-y+5z=24x+y+(a2-14)z=a+2To find for what values of 'a' will…

Q: x-y+2z-w = -1 2x +y- 2z - 2w =-2 -x+2y-4z+w=13x- 3w =-3 Solve above system by using Gauss-Jordan…

A:

Q: Q4) Solve the following system of nonlinear equations: x² + y² + z² = 6 x² – y² + 2z² = 2 2x2 + y2 –…

A: The system is x2+y2+z2=6x2-y2+2z2=22x2+y2-z2=3 Substitute a=x2, b=y2, c=z2 The system becomes…

Q: What value of t ensures the following system of equations has infinitely many solution 3r + ( - 4)y…

A: We want to find the value of t

Q: Determine the value of k for which the system +y +5z 1 +2y 6x +15y -2z 2 +kz 16 has no solutions. k…

A: