4. For what values of h and k is the following system consistent? 2x1 – x2 = h -6x1 + 3x2 = k

Q: For the following system to be consistent, 3x+ 6y-4z = -3 41x+50y+kz =-44 %3D 8x+ 8y-2z = -8 ve must…

A: Using the matrix notation, the systems of the equation can be expressed in the form AX=B. The…

Q: For what value of a and b will the system be inconsistent ? X1 + X,+3x,=2 X, + 2x,+4x3=3 X1 +…

A: If the elements of two rows of Gaussian Elimination get same then the equation will be inconsistent.

Q: Determine all values of k for which the given system has a unique solution. kx₁ + x2 + 2x3 = 4…

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Q: 6x− 4y+7z =-5 2x+16y+kz 4x+6y+2z=-4 0 we must have, k /

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Q: 1. Consider the ollowing linear system, E 2x₁ + x₂x3 + 2x4 4x1 + 5x2 − 3x3 + 6x4 -2x1 + 5x2 - 2x3 +…

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Q: (d) Consider the following system of linear equations 2x1 - 3x2 + x3 - 3x4 + 2x5 = 6 2x1 - 3x2 + 5x3…

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Q: 14. State whether the system of equations is INCONSISTENT or has INFINITELY MANY SOLUTION 5x – 3y =…

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Q: r the following system to be consistent, 3z + 7y + 3z + 8y + 5z = -4 kz = 9 y + 19 z 2 -5 e must…

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Q: Determine if the system is consistent. If so, is the solution unique? 2x + 4y - z+5w = 9 -3x − 3y +…

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Q: Suppose the following system is consistent for all possible values of f and g. What must be true…

A: We can find the values of c and d for consistent solution.

Q: Solve the following system using Gauss- Jordan elimination 3x + y = 9 5x = 7+ y

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Q: Q 1. Which of the following Is an example of a linear system of equations? O 5x + 6y = 13 6z2 - 12y…

A: see 2nd step

Q: 7x+ 6y-3z =-6 -43x+30y+kz = 13 -9x+ 9y-8z = 2 we must have, k # |

A: For the following system to be consistent k cannot equal

Q: For what values of h and k in the system below has (a) no solution, (b) a unique solution and (c)…

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Q: if the systemn has free variable then the system has unique solution Select one: O True O False

A: 1. A system of m linear equations in n unknowns x1,x2,...,xn is of the from…

Q: Rewrite the system of inequalities, adding slack variables or subtracting surplus variables as…

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Q: (-6+ 15x = 3y 1-ky + 9 = 10x Find the value of k such that the system is inconsistent.

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

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Q: Determine whether the system of equation is 4x + 8y-2z = 14 x-11y + 4z = 3 10x - 6y + 4z = 6 a.…

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Q: I1 + x2 – x4 = 0 X1 + 2x2 – X3 + 2x4 = 1 -x1 – 2x2 + 2x3 – 3x4 = 3

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Q: 12.- x₁ + 3x3 + x 4 = 2 2x₁ + 3x₂-3x3 + x4=2 2x₁2x₂2x3x4=2

A: Given linear system is ,           -x1+3x3+x4 = 22x1+3x2-3x3+x4 = 22x1-2x2-2x3-x4 = -2 (.)  Consider…

Q: For what value of a andb will the system be inconsistent ? Xq+ Xg+3X3=2 X, + 2Xz+4X;=3 + 3x,+ax3=b…

A: Using augmented matrix and rank formula , System is inconsistent if rank of matrix and rank of…

Q: For the following system to be consistent, 3x-6y + 7z + kz - 3z 13x- Oy -2x-9y we must have, k ‡ = -…

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Q: 1. Solve the linear system using LU Factorization. 2x1 + x2 - x3 + 2x4 4x1 + 5x2 - 3x3 + 6x4 -2x1 +…

A: The given linear system is ,             2x1+x2-x3+2x4 = 5    4x1+5x2-3x3+6x4=9-2x1+5x2-2x3+6x4=4…

Q: For what value(s) of h is the linear system consistent? - 21 3x2 h + 3x2 4 h equals

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Q: x + 2y = m 3x + 6y = n

A: Given equations are x + 2y = m.          ... (1) 3x + 6y = n.         ...(2) For existence of…

Q: Rewrite the system of inequalities, adding slack variables or subtracting surplus variables as…

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Q: Solve the linear system using Cholesky Factorization. 2x1 + x2 − x3 + 2x4 4x1 +5x2 - 3x3 +6x4 -2x1 +…

A: The given system of linear equations is:…

Q: The linear system below has a unique solution. By row reducing all the way to RREF (that is, no…

A: Here is the solution of the given problem. The given system has unique solution.  We solve this by…

Q: For each system below that is linear, determine whether it is consistent. (a) (b) 5x₁ - x4 = 4 4x₁ +…

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Q: For what value of a and b will the system be inconsistent ? X + X,+3X3=2 X, + 2x,+4x,-3 X+3x,+ax,=b…

A: From the given information, A=11312413a, B=23b Write the given system into augmented matrix as,…

Q: Consider the following system of equations. List the free variable(s). w+x+y+z=6 +y+z= 4 +y = 2 W W

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Q: Calculate for its system of LE thanks

A: Introduction: Row operations are used to convert a matrix to a row-reduced echelon form, which is…

Q: 3x+7y-7z = 6 15x+1y+kz =-3 -6x+3y+8z = 7

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is augmented matrix is