6c (c) Given the following equations:x + 5y + 4z = 192x – 4y + z = -44x + 6y + 7z = 30(i) State the augmented matrix.(ii) Use row reduction to find the values of x, y and z.

I have solved using row operation

Answered: (c) Given the following equations: x +…

(c) Given the following equations: x + 5y + 4z = 19 2х — 4у + z %3D—4 4x + 6у + 7z %3D 30 (i) State the augmented matrix. (ii) Use row reduction to find the values of x, y and z.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.5: Solve Systems Of Equations Using Matrices

Problem 201E: Write the system of equations that that corresponds to the augmented matrix. 201. [2433| 2 1]

See similar textbooks

Related questions

Q: Construct the augmented matrix that corresponds to the following system of equations.  2x+6y−z/3=7…

Q: Solve the system of equations 3x - 8y+ z = -r+y-z = T- 3y = %3D ting to a matrix equation and using…

A: we have, 3x-8y+z=-21 ..............(1)-x+y-z=3 .......................(2)x-3y+0z=-8…

Q: See attached

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given the system x + 3y = 10 2x - y = 6 a) Create the augmented matrix of the given system b) solve…

Q: 1. Change the following system of linear equations to matrix form; Sx -у - 10 a) 4x + y = 2 2x = 8 +…

Q: In a system of forces, the relationship between two forces F1 and F2, both in Newtons, is given by:…

Q: Translate the given system of equations into matrix form. X + y - z = 6 8х + у + Z = 4 3x = 1 4 4 1…

Q: Write the system of equations corresponding to the augmented matrix. Then perform the row operations…

A: Solve for system of equations

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z = 1 y + 4z = 0 5x + 6y = 1

A: The given set of equations are…

Q: 16. Solve the two systems in a and b using matrices. А. 12x + 20y = 40 9x + 15y = 45 14x - 21y = 56…

Q: write the system of equations that corresponds to the given augmented matrix.

A: Given augmented matrix is 32148-1. Compare the given augmented matrix with a1b1c1a2b2c2.

Q: Solve the below System using a matrix equation method: x+3y+5Z=6 2x-4y+6z=14 9x-6y+3z=3

A: To Determine: Solve the system using matrix equation method:…

Q: Construct the augmented matrix that corresponds to the following system of equations.       …

Q: 3. Find the values of the unknowns which satisfy the matrix equation. – 4 -3[ y 5 -1 2x -x у 5 APIE

A: We have: -4-305yx-1-1-x1=2x-x1-5y5 Consider the left-hand side:…

Q: (d) Find the approximate solution of the system of equations (using the projection matrix) 3 4 J]-[…

A: Least-square solution: The least-square solution of Ax=b coincides with solutions of the normal…

Q: Write the augmented matrix of the system and use it to solve the system using row reduction, clearly…

A: The given system of equation is x-3y+2z=-3-x+4y-5z=12-2x+7y-5z=9 We can write the given system of…

Q: Given the following systems of linear equations *, + 3x,– 5x,=2 3x, + 1 1x,- 9x,=4 -,+x,+6r,=5 What…

Q: 1. Solve the following system of linear equations by reducing the augmented matrix to its reduced…

Q: In the next two problems, the matrix given represents a system of three equations in the variables…

Q: (a) For matrix A = C ), if g(X) = x² + 4x + 2, what is the answer to g(A)? (b) Using algebra, find…

Q: Construct the augmented matrix that corresponds to the following system of equations.  2x+5y−z/2=4…

Q: Write the system of equations 3x 2y4z = -3 5x + 5y + 4z = 1 - 4x + 5y + 4z = 3 as a matrix equation,…

A: Given: equations: 3x-2y-4z=-35x+5y+4z=1-4x+5y+4z=3matrix equation is AX=BA[xyz]=Bwe can write the…

Q: Consider the system of equations: -2x + z = -4 -x + 2y + z = -50 5x -y + z = -26 with the…

Q: What value of x satisfies the matrix equation 7r + 14] ? 3x – 2 [x+8

A: By comparing the entries of matrix it can be solved

Q: Find the value of y in the system whose augmented matrix is given below. 3 -1 O 2t-1 O t -t 2t+1 2.…

Q: Perform the elementary row operation R2 → R3 to matrix B to obtain matrix C. -1 0 0 01 1 2 4 2 -2 A…

A: Our Aim is to perform the elementary row operations R2↔R3 to the matrix given below:-

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z= 1 y + 4z = 0 5x + 6y = 1

Q: Find an equation involving g, h, and k that makes this augmented matrix correspond to a consistent…

A: The objective is to form the equation involving g, h, and k so that the given augmented matrix is…

Q: Consider matrix A. -3 5 21 %3D -1 3] What matrix results from the elementary row operations…

A: Applying the elementary row operation will change the second row of the matrices. Given

Q: (1) Consider the following system of linear equations: 2x + 3y – z = -6 x – z = 12 -5y + 4z = –1…

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z 1 y + 4z = 0 5x + 6y = 1

Q: 1. Solve the system using matrix methods. x+2y-z = 6 3x+5y-z = 2 -2r-y-2z = 4

Q: a- Use the invers matrix to find the solution of the following system. x-2y 1 2x+y=7 b- If det(A +…

Q: What is the result of applying the row operations –3R1 + R2 → R2 and –R1+ R3 → R3 to the matrix 3 -2…

A: Given matrix is 12-13-22abc

Q: What is the result of applying the row operations -3R1+R2 → R2 and -R1+ R3 → R3 to the ... matrix [1…

Q: Write the augmented matrix of the following system of equations. 8x + 4y + 2 = 0 4x 8y - 6 = 0 What…

A: Write the augmented matrix of the following system of equations.

Q: Vrite the system of equations corresponding to the augmented matrix. Then perform the row operations…

Q: system of equations. x - 4y + z = 15 y + 8z = 11 z = 14

Q: Find the augmented matrix of the system of equation. 2x – 14y + 9z = 47 -3x + 24y = - 52 2x -13z =…

Q: -y +2 - 5t = 3 x + 3z – t = 4 x + 2y +t = 5 Let the system of equations given above be transferred…

A: Explanation of the answer is as follows

Q: 2. Consider the following system of linear equations. 2х + Зу = 1 x – y = 2 Зх — 2у — — 1 (b) By…

Q: Given the following systems of linear equations +3x,-5x,=2 3x,+11x,-9x,=4 %3D What is the reduced…

Q: Consider the following system 2 y + 3x + 2y + 3x + 2y + (k² – 2)z 2z 5 k +7 (a) Apply the row…

Q: Solve the system by using the inverse of the coefficient matrix. 9x + 4y - z = 64 X - 2y + 2z = 3…

A: Given problem Given that

Q: Find for the x and y of the system of linear equations using matrix operation. 5x-4y=25 -3x+8y=-43

A: The matrix form of the given system, AX=B Where, A=5-4-38 X=xy, B=25-43

Q: Write the augmented matrix for the system of equations to the right. x - y + 6z = 7 y - 12z = -8 %3D…

A: Augmented matrix

Q: (c) Given the following equations: x + 5y + 4z = 19 2x – 4y + z = -4 4x + 6у + 7z 3 30 (i) State the…

Q: Write the system of equations that corresponds to the augmented matrix. 17-2 18 1 -8 x + y = -2 x +…

A: Writing the system of equations

Q: 1 -5 5g 011 -6h 3 4-9k

Question

(c) Given the following equations:
x + 5y + 4z = 19
2x – 4y + z = -4
4x + 6y + 7z = 30
(i) State the augmented matrix.
(ii) Use row reduction to find the values of x, y and z.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Write the system of equations that that corresponds to the augmented matrix. 201. [2433| 2 1]
Solve for x and y in the matrix equation 2AB=I, given A=[1123] and B=[x2y5].
Solve: {3x4z=12y+3z=22x+3y=6 .
Solve the system 3x+5y+3z=193x+4y+4z=84x8y6z=26.
Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.
Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 2, (b) Multiply row 1 by 2, (c) Multiply row 2 by 3 and add to row 1. [232413504| 42 1]