Find the general solution of the system below. Give your answer as a vector X1 + 2x2 - 3x3 = 0 4x1 + 7x2 - 9x3 = 0 -X1 - 3x2 + 6x3 = 0

Q: .Write the system in the form Ax = B and use x = A-'B to solve the system for each matrix В. x1 +…

A: We first write the given system of equations  in the form Ax=B, then we will find A^-1  by Gauss…

Q: The vector (0, -2, -2) is a solution of the linear system: X1 + 3x2 – 3x3 = 3 5x1 + 13x2 – 13x3 = 13…

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Q: solve this system of linear equations by matrices x+5y=10 4x+20y=40

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Q: Use the method of Example 8 to find the given linear system. 5x1-3r2 -1 6.r1+2=5 %3D NOTE: Enter…

A: 5x1-3x2=-16x1+x2=5To find the solution

Q: Give the parametric vector form of the general solution of the following system of linear equations:…

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Q: Write the augmented matrix for the system of linear equations:

A: Augmented matrix of system of linear equation a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3 is…

Q: Return this to the familiar linear system 2х1 + х2 — ӕз + 2х4 3x2 – x3 + 2x4 -x3 + 4x4 = 2x4 -1 11…

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Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A: Explanation of the answer is as follows

Q: Solve the system of linear equations using matrices. x+y+z=3 2x+3y+2z=7 3x-4y+z=4

A: Given equation x+y+z=32x+3y+2z=73x-4y+z=4 in matrix form A=1112323-41 B=374 X=xyz we know that…

Q: Use matrices to solve this system: x - y + z = 17 2r + 3y + z = 8 -4x + y + 5z = -2.

A: The system of equations can be taken as the matrix form AX=B , where A is the matrix that contains…

Q: Write the system in the form Ax = B and use x = A-'B to solve the system for each matrix В. Tị + 2x2…

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Q: Use matrices to solve the system: Зх + у + 2z %3D 31 x + y + 2z = 19 x + 3y + 2z = 25. %3D

A: We can transform the given system of equations to to the matrix form AX=B . We can use matrix…

Q: Write the augmented matrix of the system and use it to solve the system. 2z - 2 %3D 24x 5y 4z + 16w…

A: we have to write the augmented matrix of the system and then solve the matric

Q: determine the solution set of the linear system: x3-x4=-2 x1-x2+2x4=1 -3x1+3x2+2x3-8x4=-7 write your…

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Q: Solve the following system of linear equations using linear combinations of column vectors.  2x + y…

A: Given system of linear equations is  2x+y+12z=1-2x-4y-18z=2 we have to solve this using linear…

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A:

Q: Write the augmented matrix for the system of linear equations. 8x +y+7z = 7 %3D 5x- 6y - z = 4 %3D…

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Q: The vector (1,-2, –3) is a solution of the linear system: X1 + 3x2 - 3x3 = -2 5x1 + 13x2 - 13x3 = -8…

A: We have to solve the problem

Q: Given A and b to the right, write the augmented matrix for the linear system that coresponds to the…

A: Given A = 16-7-2-24-3-64b = 2168 The augmented matrix is given by 16-72-2-2416-3-648 Now reduced it…

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A:

Q: Write the augmented matrix of the system and use it to solve the system.…

A: Given  x-3y+3z =21 -3x+10y-6z=-53 -2x+3y-12z=-60

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A:

Q: Solve the system of linear equations using matrices. x+3y+2z=6 2x-3y+2z=-20 -3x+2y+z=12

A: Given system of linear equations:                                       x+3y+2z = 62x -3y +2z…

Q: Write the augmented matrix associated with the system of linear equations. X - 9y + 6z = 8 8х + 8z =…

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Q: Q3 Solve the of linear equationy system Using Grtmer's fule matrix 4x +42=2 +2X y +42=6 %3D X -Y-3 2…

A: Solution:

Q: Find all solutions, if any, to the linear system Y + 3z 5y + 2x -1 - 3. 3x 3y + 2z -4 Express your…

A:

Q: write a vector equation that is equivalent to the given system of equations. x2 + 5x3= 0  4x1 + 6x2–…

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Q: Solve the system of equations by using the inverse of the coefficient matrix (show your detailed…

A: The given system of equation are, 2x - 5y + z = 13 -x + y - z = -2 x - 3y = 8 This can be…

Q: Solve the system and translate it to vector form: 4x1   -5x2   3x3   4x4   =   2 -1x1   1x2    2x3…

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Q: The vector (0, 2,-3) is a solution of the linear system: X+ 4x2-4x3 = 24 5x1 + 16x2 – 16x3 = 96 -…

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Q: Solve the system using Ga matrices if you want. You (2x-y-3z = 1 6. 4x+3y +2z = -4 -3x+2y +5z = -3…

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Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A: Given problem is :

Q: Find all solutions, if any, to the linear system 2x + 3z -1 %3D + 5y + 3x + 3y + 2z -4 Express your…

A:

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A: Solve it by using augmented matrix [A:b]

Q: Write the system first as a vector equation and then as a matrix equation. 4x1 X2 = 2 6x1 + 7x2 = 3…

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Q: Use matrices to solve the system.

A: The given system of equations is 5x+2y-z=10, y+z=-3. First write this system in the form of an…

Q: The vector (1,-2, –6) is a solution of the linear system: X1 + 4x2 – 4x3 = 21 5x1 + 18x2 – 18x3 = 95…

A: Explanation of the answer is as follows

Q: 3x+y+z=2 x+2y-z=-4 2x-2y+3z=9

A:

Q: Use Cramer's rule to find the value of Y in the following system of linear equations. x + 2y + 3z =…

A: I assume in the 3rd equation 7z instant of 7x

Q: Write the given system of linear equations in matrix form. 9x = 7 5х - Зу %3D 13 %3D y 13

A: Given system of linear equations is 9x=75x-3y=13

Q: Solve the system of linear equations using Gauss-Jordan elimination technique 3x – 2y +z+ 2t = 2 -x…

A: Given equation can be written as, 3-212-124-132-5-44-42-22-88-10 Now R2↔R1…

Q: Solve the system of equations using matrices.

A: x-2y+z=22x-y-z=1 The augmented matrix is, A : B=1-2   1:22-1-1:1 Apply R2→R2-2R1, we get A : B=1-2…

Q: 9. ts) Solve the system, and write the solution in vector form. X1 - x2 + 2x3 - x4 = 0 + 5x4 = 0 X2…

A: The detailed solution is as follows below:

Q: Solve the systems of equations by matrix only x+y+2z = 0 x-2y-2z = 0 x+y+z = 0

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Q: Write the augmented matrix for the system of linear equations. 5x +y+7z 6x-9y - z x-3y-5z = - 7 = 7…

A: Given : 5x+y+7z = 76x-9y-z = 8x-3y-5z = -7

Q: The vector (8, 0, 1) is a solution of the linear system: X1 + 4x2 – 4x3 = 4 5х1 + 16х2 — 16х; — 24…

A: Linear equation: - Linear equations are simply another class of "equations." Linear equations will…

Q: Write the vector form of the general solution of the given system of linear equations: 2x1 + x2 + x3…

A:

Q: Write the augmented matrix for the system of linear equations. 6x +y+ 3z =D 2 9x - 6y- z = 5 x-8y-6z…

A: The given linear equations are: 6x+y+3z=29x-6y-z=5x-8y-6z=-3 Write the augmented matrix of the…

Q: Use matrices to find the complete solution to the system of equations, or show that none exists.

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.