Let Ax =b be 5x7 non-homogeneous system of linear equations. Which of the following statements is true? 1. the sytem has no solution II. the system has infinitely many solutions III. the system has a unique solution. Select one: Oonly II x 1, II and III I and II only I

Q: Obtain the values of A so that the system has a unique solution, infinity of solutions or no…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variable  for…

Q: x      −  4z  =  −4 2x  −  y  −  6z  =  −4 2x  +  3y  −  2z  =  4 (x, y, z) =

A: Given data:     The given first equation is: x-4z=-4. The second equation is: 2x-y-6z=-4. The third…

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

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A: (a) Given system of equations: a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3……1   Solutions of above…

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A: We multiply the first equation by -3

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A:

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…

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: Given:

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A:

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A: Solution: Consider the given system of equations 3x - 2z = 4x - 4y +z = -5-2x + 3y + 2z = 9 Find the…

Q: Let a be a real number, and consider the following homogeneous system of linear equations: x + y+ z…

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: Just form augmented matrix and reduce it to row echelon form.

Q: Consider a linear system 2x + 3z = k? + k - 6 3x - 2y = k2 -9 x+2y + 6z = -2k – 6 (a) For what…

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

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Q: 2) Find (if possible) the values of a,b,c such that the system of linear equations has: a) unique…

A: Solution:

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: Consider the system of equations: x + 2y - z = 1             .......................(1) 2x + 3y - 4z…

Q: Consider the following system of linear equations 3x + 2y + z = 0 x + y + z = 0 x        − z = 0…

A: Given:3x+2y+z=0x+y+z=0x-z=0

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A:

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: Given :

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A:

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A:

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: From x+y-z=0 we get x=z-y We plug this in the second and third equation

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: 2x + y − z = −8 ............(1) −x + y + z = 3 ............(2) −2x   + 4z = 18 ............(3)   We…

Q: Obtain the values of A so that the system has a unique solution, infinity of solutions or no…

A:

Q: 2y  +  4z  =  −1 −2x  +  y  +  2z  =  −1 4x  −  2y      =  0 (x, y, z) =

A: Given data:     The given first equation is: 2y+4z=-1. The second equation is: -2x+y+2z=-1. The…

Q: ind the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: Isolate x forms the equation for x + y –z =0: x = -y + z.   Substitute x = -y + z in the equations:

Q: Consider the following system of linear equations  3x + 2y + z = 0  x + y + z = 0  x       − z =…

A: Given, the system of the linear equatione:      3x + 2y + z = 0          x + y + z = 0          x…

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Q: 2. Find (if possible) values of a, b and e, such that such that the system of linear equations 2r –…

A: Given: The system of linear equations

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A: The given linear system,x+z+2w=7y-2z=-5x+2y-z=-32x+y+3z-2w=0

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A: We add the first and third equation Add x-y-z=3 and -x+y-4z=7

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A: Given system of equations x-y+z =a 2x-y-z=b 2y-3z=c

Q: 7. Determine the value(s) of k such that the system of linear equations has exactly one solution. -y…

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: By see this solution in below

Q: x  +  y  +  z  +  w  =  0 x  +  y  +  2z  +  2w  =  0 2x  +  2y  +  3z  +  4w  =  3 2x  +  3y  +  4z…

A: Given data:     The given first equation is: x-y+z+w=0. The second equation is: x+y+2z+2w=0. The…

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A: See the details solution in below

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: The objective of the question is determine the solution of the system of equations.

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

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Q: Use Gaussian elimination to find the complete solution to the system of equations, or show that none…

A: Given: 2w+x-2y-z=3w-2x+y+z=4-w-8x+7y+5z=133w+x-2y+2z=6

Q: If there is no solution, enter NO SOLUTION.)     x  −  2y  −  3z  =  8 2x  +  y  −  z  =  8 4x  −…

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A: To Determine: The values of k such that the system of linear equations does not have a unique…

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: Consider the given equations. x + y  -z =0x+2y-3z=-82x+3y-4z=-8 Here, make the matrix.…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.