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Solving the system by gauu jordan elimination method
From the reduced row echelon form
| The system is inconsistent |
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Consider the system of equations shown below. 3w - 2x + 16y - 22 = -8...
Consider the system of equations shown below. 3w - 2x + 16y - 27 = -9...
Consider the system of equations shown below. 3w - 2x + 16y - 27 = -9 -W + 5x - 14y + 18z = 93 3w - x + 14y + 2z = 1 (a) Determine whether the nonhomogeneous system Ax=b is consistent. O consistent Inconsistent (b) If the system is consistent, then write the solution in the form X Xp + Xn, where X, is a particular solution of Ax = b and X, is a solution of AX...
20. [-13.22 Points] DETAILS LARLINALG8 4.6.054. ASK YOUR TEACHE Consider the system of equations shown below....
20. [-13.22 Points] DETAILS LARLINALG8 4.6.054. ASK YOUR TEACHE Consider the system of equations shown below. 3w - 2x + 16) - 2z = -9 -W + 5x - 14y + 18z = 37 3w - X + 14y + 2z = 1 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = Xp + Xh, where xp is a...
Consider the system of equations shown below. 2x - 4y + 5z = 10 -7x +...
Consider the system of equations shown below. 2x - 4y + 5z = 10 -7x + 14y + 4z = -35 3x - 6y + z = 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = Xp + xn, where xp is a particular solution of Ax = b and xn is a solution of Ax = 0....
Consider the system of equations shown below. x - 4y + 5z = 8 -7x +...
Consider the system of equations shown below. x - 4y + 5z = 8 -7x + 14y + 4z = -28 3x - 6y + z = 12 If the system is consistent, then write the solution in the form x = xp + xh, where xp is a particular solution of Ax = b and xh is a solution of Ax = 0. (If the system is inconsistent, enter INCONSISTENT in both matrices.) X = [ ] + t...
Given a system of linear equations: w + 2x - 3y + 4z = 1
Given a system of linear equations: w + 2x - 3y + 4z = 1 3w + 6x - 9y + tz = 2 (i) Express the system in [A][b] form.(ii) Determine the value of t such that: - the system is consistent; and - the system is inconsistent. (iii) Determine the rank of A, and by using the Rank Theorem, determine the number of free variables.
3.Consider the following system of equations: 2x+3y + z-1 xy4 Write this system of equations in...
3.Consider the following system of equations: 2x+3y + z-1 xy4 Write this system of equations in matrix form (AX- B). What property of A tells you if the system has a unique solution? Does this system havea unique solution? Why or why not? (Answer without solving the system.) Find the solution(s) to this system of equations using matrix multiplication.
6. The reduced row echelon form of a system of linear equations is shown below. Write...
6. The reduced row echelon form of a system of linear equations is shown below. Write the system of equations corresponding to the given matrix. Use x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. 1 0 41 41 0 1 3 2 Lo 0 0 0
Describe the solutions of the first system of equations below in parametric vector form. Provide a...
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x1 +4x2+8X3 = 16 - 12X1 - 12X2 - 24x3 = - 48 - 6x2 - 6x3 = 18 4x7 +4x2+8X3 = 0 - 12X1 - 12X2 - 24x3 = 0 - 6x2 - 6x3 = 0 X1 Describe the solution set, x = X2 of the first system of equations...
Given the following system of linear equations 1. 2xi + 4x2 + 8 x3 + x. +2x,3 a) Write the augmented matrix that represents the system b) Find a reduced row echelon form (RREF) matrix that is row...
Given the following system of linear equations 1. 2xi + 4x2 + 8 x3 + x. +2x,3 a) Write the augmented matrix that represents the system b) Find a reduced row echelon form (RREF) matrix that is row equivalent to the augmented matrix c) Find the general solution of the system d) Write the homogeneous system of equations associated with the above (nonhomogeneous) system and find its general solution.
Given the following system of linear equations 1. 2xi + 4x2...
O SYSTEMS AND MATRICES Classifying systems of linear equations from graphs from both sides of System...
O SYSTEMS AND MATRICES Classifying systems of linear equations from graphs from both sides of System B System System A Line 11 y=-2x+5 Line 11 yx+4 Line 1: Line 2: y=x-1 Line 2:y2-4 Line 2: x+2y-6 ms that don't con Tap oblem. This system of equations is. inconsistent O consistent dependent consistent independent This system of equations is inconsistent consistent dependent consistent independent TNS means the system has: [ - This system of equations is: inconsistent O consistent dependent O...
Consider the system of equations shown below. 3w - 2x + 16y - 27 = -9 -W + 5x - 14y + 18z = 93 3w - x + 14y + 2z = 1 (a) Determine whether the nonhomogeneous system Ax=b is consistent. O consistent Inconsistent (b) If the system is consistent, then write the solution in the form X Xp + Xn, where X, is a particular solution of Ax = b and X, is a solution of AX...
20. [-13.22 Points] DETAILS LARLINALG8 4.6.054. ASK YOUR TEACHE Consider the system of equations shown below. 3w - 2x + 16) - 2z = -9 -W + 5x - 14y + 18z = 37 3w - X + 14y + 2z = 1 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = Xp + Xh, where xp is a...
Consider the system of equations shown below. 2x - 4y + 5z = 10 -7x + 14y + 4z = -35 3x - 6y + z = 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = Xp + xn, where xp is a particular solution of Ax = b and xn is a solution of Ax = 0....
3.Consider the following system of equations: 2x+3y + z-1 xy4 Write this system of equations in matrix form (AX- B). What property of A tells you if the system has a unique solution? Does this system havea unique solution? Why or why not? (Answer without solving the system.) Find the solution(s) to this system of equations using matrix multiplication.
6. The reduced row echelon form of a system of linear equations is shown below. Write the system of equations corresponding to the given matrix. Use x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. 1 0 41 41 0 1 3 2 Lo 0 0 0
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x1 +4x2+8X3 = 16 - 12X1 - 12X2 - 24x3 = - 48 - 6x2 - 6x3 = 18 4x7 +4x2+8X3 = 0 - 12X1 - 12X2 - 24x3 = 0 - 6x2 - 6x3 = 0 X1 Describe the solution set, x = X2 of the first system of equations...
Given the following system of linear equations 1. 2xi + 4x2 + 8 x3 + x. +2x,3 a) Write the augmented matrix that represents the system b) Find a reduced row echelon form (RREF) matrix that is row equivalent to the augmented matrix c) Find the general solution of the system d) Write the homogeneous system of equations associated with the above (nonhomogeneous) system and find its general solution.
Given the following system of linear equations 1. 2xi + 4x2...
O SYSTEMS AND MATRICES Classifying systems of linear equations from graphs from both sides of System B System System A Line 11 y=-2x+5 Line 11 yx+4 Line 1: Line 2: y=x-1 Line 2:y2-4 Line 2: x+2y-6 ms that don't con Tap oblem. This system of equations is. inconsistent O consistent dependent consistent independent This system of equations is inconsistent consistent dependent consistent independent TNS means the system has: [ - This system of equations is: inconsistent O consistent dependent O...
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