If the linear system 3y + 5z = 4. 7z 3. %3D 32 z + 13y hz has infinitely many solutions then k and h

Q: solve the given nonhomogeneous system. Q. x′ 1 =− 2x1+x2+t, x′ 2 =− 2x1+x2+1.

A: The nonhomogeneous system x′ 1 =− 2x1+x2+t, x′ 2 =− 2x1+x2+1.

Q: -): Solve the given system by Gauss Jordan reduction method 2x + y + z - 2w = 1 3x – 2y + z- 6w = -2…

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Q: Is there a value of r so that x = 1, y = 2, z = r is a solution to the following linear system? If…

A: Given  The system of equation is  2x + 3y − z = 11x − y + 2z = −74x + y − 2z = 12.

Q: Use back substitution to find the solution of the following system. *+y-z=1 z = 1

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Q: Solve the system equations 5x+2y+z=12 , x+4y+2z=15,x+2y+5z=20 using gauss Seidel method

A: Rewrite the system in matrix form and solve it by gaussian eleminating-…

Q: Determine the values of A and µ for which the system has infinitely many solution for the linear…

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Q: Consider the linear system: 5 x + 3 y + 3 z = 1 4у — 3 z %3D 2 2 z = 3 Using backwards substitution,…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. 1 4 3 X + -5…

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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: If the linear system has infinitely many solutions, then k = and h = -6x 8x 50 x + 7y + 3z + 5 z 4y…

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Q: Given the system x + 2y + 3z = 0 ay + z = 2 ay + bz = 4 For which value(s) of a and b will the…

A: A non-homogeneous system of linear equations AX = B has unique solution if determinant of A is…

Q: Solve the given system by back x -y + z = 0 , 2y -z = 1 ,3z = -1

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Q: Solve the system equations 10x+y+z=12 , x+10y+z=D12, x+y+10z%312 using Jacobi's method

A: Given : 10x+y+z=12x+10y+z=12x+y+10z=12

Q: Solve the above linear system, by using the method of -4x+3y+2z k² – 11k+30 2x-5y-5z k- 25k…

A: Solution is written in below steps.

Q: Consider the system of equations .x – 3y + z = 0, x + ày + 3z = 1, 3x +y + 5z = 2. The values of 2,…

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Q: If the linear system 6x + 5 y 6z %3D -8 a + 6 y + 6z 8 %3D 10 x 17 y + hz k s infinitely many…

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

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Q: The linear system A²x = b is such that A is nonsingular with 3 0 A- and b= Find the solution x.

A: Given  The linear system  A2X= b , A-1=3021  and b=-12.

Q: Find the best approximation to a solution of the linear system 2л + у 3 1 х — у %3D 2 - x + 5y = 3

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Q: Solve the linear system x+ 2y + 3z + 4w = 5 x+ 3y + 5z + 7w = 11 - z- 2w = -6 by Gauss-Jordan…

A: Given system of linear equation is x+2y+3z+4w=5x+3y+5z+7w=11x−z−2w=−6....1 Now, write it matrix form…

Q: Consider the following system of linear equations. 5x + 2y + 3z = 7 2x + y + z = 4 7x + 3y+ 4z = n…

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Q: Find the general solution of the given system. 1 0 X' = 2 2 -1 X %3D AUR 0 1

A: Given system is  X'=10022-1010X

Q: ! Use Gramer's rule to solve the following system * x+y = 2 2x – z = 1 2y -3z -1

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

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Q: If the linear system -3z + 4 y 6 z %3D -6 z 5 y 7 z 6. 15 z + 32 y + hz k %3D has infinitely many…

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Q: Consider the system x +y - z = 4 x - 2y + 3z = -6 2x + 3y + z = 7 %3D Solve the system using…

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Q: For what value(s) of h and k does the linear system have infinitely many solutions? - 4x1+4x2 1 %3D…

A: We have to find the value of h,k for which the system of equations have infinitely many solution.

Q: 1. Solve the linear system using Jacobi and Gauss-Seidel Method 2x − y=2 X - 3y +z = -2 -x+y=3z = -6

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Q: If the system 3x 6y 6z - 7 - 5x 3y + 3z - 6 - 29x 6y + hz and h has infinitely many solutions, then…

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Q: 2)By using Gramer's method to solve the system x + 2y+ 3z = 0 %3D 2x + 3y+ 8z = 0 x + 5y+ 11z = 0 ,…

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Q: Consider the following linear equations: 2.x – y – 6z x - 5y – z = 4.x +y - z -2, -8, 13. Use Gauss…

A: We solve the given system by using Gauss Elimination method with partial pivoting.

Q: Find the general solution of the following nonhomogeneous system: 2 3 -8x – 1 2 1

A: Let y→=y1y2    ⇒y→'=y1'y2' so,  y1'y2'=2321y1y2+-8x-13y→'=Ay→+b .....(1)…

Q: Consider the following linear system: y': [13], 1. Find the general solution of the linear system. y

A: Note: according to our guideline we can answer only first question

Q: 9. Write the complete solution x = x, +x¼ to the given linear system. x + 3y + 3z = 1 2x + 7y + 9z =…

A: Given : Given system of linear equation is x+3y+3z=12x+7y+9z=5-x-3y-3z=-1 We want to write complete…

Q: If the linear system −4x+3y-7z=6 −8x+9y−2z=−9 44x−45y+hz=k has infinitely many solutions, then find…

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Q: Consider the linear system 2x 3 | 4x 2y 4 Which one of the following is a solution of the linear…

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Q: Consider the following system: x + 3y + az = -2, x - y+ bz = 1, 2x + 4y + cz = -3. 1 3 a If 1 -1 6…

A: In this question we have to find the value of z that which we can find by using the cramer rule

Q: 1. Consider the linear system i1 = -2px1 + qx2 i2 -qx1 – pgx2 where p and q are unspecified…

A: So, the idea is to put the expected solution of x1 and x2 in the question itself and then compare…

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

A: From the given equation we make two matrices.1. matrix of order 3×3 with the coefficients of x, y…

Q: Find the general solution to the following non-homogeneous system. -1 x + 4 3t x' 3 9.

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Q: Solve the given system by elimination method. 5x+2y+4z=0 2x-y-2z=0 5x+3y+6z=0 Is the linear system…

A: Given 5x+2y+4z=02x-y-2z=05x+3y+6z=0

Q: Consider linear system Ax = b with A = -2 5 k and b = Find all possible 4 5 9 k values of k e R such…

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Q: Given the linear system x + 2y = 10 3x + (6 + t)y = 30, (a) Determine a particular value of t so…

A: Given: The linear system as x+2y=103x+6+ty=30 To determine:  A particular value of t so that the…

Q: Consider the linear system 2x 3 4x 2y = 4 Which one of the following is a solution of the linear…

A: Solution: The objective is to find the solution to the given linear system

Q: Is there a value of r so that x = 1, y = 2, z = r is a solution to the following linear system? If…

A: Given, 2x+3y-z=11x-y+2z=-74x+y-2z=12

Q: if the linear system  -5x + 3y - 6z = -6 -2x - 3y + 3z = 9 23x + 3y + hz = k has indifinitely…

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Q: Determine the value(s) of a for which the linear system has infinitely many solutions. ax + y = 16…

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Q: 2. Solve the given linear system using: 2.x+3y+z =-1 3x +3y+z = 1 LU -Factorization 2.x+4y+z =-2

A: For the solution follow the next steps.

Q: Using Gauss Elimination method, the following system of equation has: x+y+z 0 -x-y+3z= 3 -X-y-z=2

A: Solve the system of equation  by using gauss elimination method

Q: 2. Solve the non-linear system x²x+y = 0.5 and ² - 5xy - y = 0 using initial values x0 = 1 and y0 =…

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