4. (a) Using Gauss-Jordan-elimination process calculate the inverse of matrix 1 -1 5 A = 2 1 2 -2 -2 1/ Verify that the calculations were correct! (b) Using the calculations in part (a) find all solutions to the system of linear equation x- y+ 5z = 2 2x + y+ 2z = -1 -2·x - 2y + z = 2 Verify the solution is fit to the system!

4. (a) Using Gauss-Jordan-elimination process calculate the inverse of matrix 1 -1 5 A = 2 1 2 -2 -2 1/ Verify that the calculations were correct! (b) Using the calculations in part (a) find all solutions to the system of linear equation x- y+ 5z = 2 2x + y+ 2z = -1 -2·x - 2y + z = 2 Verify the solution is fit to the system!

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Use the following set of equations 2x1+ X2- X3 = -1 X2+ X3 = 2 X1+2x2-X3= -1 (1) (2) (3) Eion…

A: None of them

Q: Find the vector form of the general solution of the linear system X1 + x2 + 2x3 = 5 X1 + x3 = -2 2x1…

A: The given system of equations x1+x2+2x3=5x1+x3=-22x1+x2+3x3=3 can be written in vector form as…

Q: Consider the system x1+x2+x3=1 2x1+6x2+3x3=1 −2x1−3x2−5x3=3 (a) Write given system in the matrix…

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: Find the vector form of the general solution of the linear system x1+ x2…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: 2х + 3у + z %3 1 Зх + Зу + z %3 — 1 2x + 4y + z = 2 Put the equations in to an augmented matrix and…

Q: (b) A matrix is defined as the first three rows given as (3, -2, 1) (2, 3, -4) and (4, -1, 2).…

A: (b) Given matrix rows are 3,−2,1, 2,3,−4 and 4,−1,2. Write it in matrix form, which is given below…

Q: 3.6x₁ + 15x₂ + 55x3 = 76_(Use Cholesky Method) 15x₁ +55x₂ + 225x₂ = 295 55x₁ + 225x₂ +979x3 1259…

Q: Using Cramer's Rule to solve the system 2х + 5у %3D 8 Зх — 2у %3D 9

A: Solving the given equation by using Cramer's rule.

Q: In each part of Exercises 7-8, find the augmented matrix for the linear system. 7. (a) -2x₁ 3x₁ 9x1…

Q: 3. (~. Write the system in an equivalent matrix form, Ax = b. 2х1 + 5х2 -x1 + 3x2 + 8x3 4х, + 3x2 —…

Q: 2. A = 77₁b = 3 25 -1 3

A: Given, .If A=, than .

Q: Solve the matrix equation Ax = 0. (If there is no solution, enter NO SOLUTION. If the system has an…

Q: (a) Find the general solution of a system of equations that its augmented form is row equivalent to…

A: We have to find the general solution of a system of equations that its augmented form is row…

Q: -2/39 5/39 -3/13 1/13 The above matrix equals A^-1 3x-5y=55 9x-2y=61 Solve the system by using…

Q: Find the d. c. of T from definition.

Q: 1. Let D = the sales of DVDs in billions of dollars, S = the total sales of streaming videos in…

A: The sales of dvds given as the function D = -0.92t + 8.75 and the total sales of streaming videos…

Q: Use the following set of equ 2x1+ X2- X3 = -1 X2+ X3= 2 X1+ 2x2-X3=-1 Using Gauss-Jordan elimination…

Q: In Exercises 9-12, perform the indicated elementary row operation on the matrix -6 4. 2 -3 1 -2 10.…

A: As bartleby required if many part then due tovtime we can do 3 part please upload remaining parts…

Q: 2. Let a linear system of equations Ax = b where 4 2 -2 b = (10,5,4)" A = 2 -2 -3 14. -3 In case we…

A: Lu

Q: 5. The matrix equation A# = 5 forms a 2-by-2 set of equations: A = (a) Write the 2 equations in the…

A: Given coefficient matrix A AX=b

Q: (b) Consider a linear system Ax = b with A = 2 -1 0 -1 3 -1 0-1 4 and b = ( −7, 6, 17 )T. (i) Prove…

A: We have system AX=b A=[2-10-13-10-14], X= [xyz], b=[-7617]

Q: .Use the following set of equations 2x1+ X2- X3 = -1 X2+ X3 = 2 X1+ 2x2- X3 = -1 (1) (2) (3) Using…

A: From augumented matrix we can reduce into row echolen form then we can write 3rd coloumn.

Q: 6x + 24y + -72z 96 14x 56y + -168z = 224 -20x + -80y + 240z = -320 The augmented matrix for the…

A: Given system of linear equation is 6x+24y−72z=9614x+56y−168y=224−20x−80y+240z=-320..........1 Now,…

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

Q: Find (3) BA + (4)AC, if possible что 2 O - 3] B=√₁ A.) (3) BA+ (Y)A(=[ A = -2 -3 3 O 1 O 1 -10 C =…

Q: 35. x2 + x3 x₁ + 2x2x3 -x1 + x2 + 7x3 x4 = 3 + x4 = 1 x4 = 0

Q: -X1 + X2 - X3 + 3x4 = 0 Зах, + ах2 2сх, — сх, — 2схз -сх4 - 0 ax3 - ax4 = 0 (a) Using the values a…

Question

100%

4. (a) Using Gauss-Jordan-elimination process calculate the inverse of matrix
1 -1 5
A =( 2 1 2
-2 -2 1/
Verify that the calculations were correct!
(b) Using the calculations in part (a) find all solutions to the system of linear equation
x- y+ 5z = 2
2x + y + 2z = -1
-2·x - 2y +z = 2
Verify the solution is fit to the system!

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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Matrix Factorization$

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

s described by the equation Systam x= Ax where A = -1 -2 1 -H Assuming madrenQ on the stability of the system usung the equation to be unut matrix, solve for matrix P and comment ATP+PA=-Q
Find all solutions of the system (E) of linear equations -109z + 30y + 25z 6. 25z 7y + ly 6z 1 -3r 1z -4 Answer, step 1: The RREF of the augmented coefficient matrix of (E) is. B. Answer, step 1: (enter 1' for a true answer, and enter '0' for a false answer). The system (E) has infinitely many solutions The system (E) has exactly one solution The system (E) has no solutions Moreover, these solutions are: t + span{a, b} for nonparallel vectors a and b. For a vector that's not applicable enter -99' in each of its positions: if you mark a inapplicable, then b must be inapplicable also. t = b%3D Check
1. find A^-1 2. explain how you can use A^-1 to solve the system Ax=b
question 2b
Q6 Needed to be solved correctly in 20 minutes in the order to get positive feedback please provide me hundred percent correct answer in the order to get positive feedback Hundred percent efficiency needed please
An augmented matrix [A] b] has been formed for a system of equations Ax = b, and then Gaussian Elimination was carried out to produce the augmented matrix [R|c] in reduced row echelon form. For each case below, • Label the system Ax = b as having (i) no solution, (ii) one solution, (iii) infinitely many solutions. • In cases (ii) and (iii), write either the solution or the general solution. 100 7 0 1 0 -3 0 0 1 14 000 0 1 040-4 0130 5 0001-7 0000 3 (a) [R|c] = (b) [R|c] = (c) [R|c] = 1 0 0 1 4 5 -6 0 0 3 -2 0 104 0015 7 2100 7 8
Consider the system of linear equations 2x₁ + 2x₂2x3 −5 x₁ + x₂ − X3 = 4x₁8x₂ + 8x3 (a) Write down the coefficient matrix A of this system. (b) Write down the augmented matrix A' of this system: (c) Find the rank of these matrices: rank(A) : = and rank(A') = (d) This system of equations has (No answer given) = || 2 0
A system of linear equations can be described in a matrix equation Ax = b_with -2 41 T-2 A = |1 13 x = |y| and b = |-5| 5] -3 1 7 a. Find the inverse of matrix A. [10] b. Solve the matrix equation by using the inverse matrix of matrix A (a). [10] c. Find an LU factorization of matrix A. [15] d. Solve the matrix equation by using the LU factorization of matrix A (c). [15]
Consider the system of equations 2x + y = 3 3x + 2y = 1. This system can be represented as a matrix equation AX = B with A = and B = The inverse of the coefficient matrix is A-1- If we multiply both sides of the matrix equation AX = B by A-1, we get X = A-'B, where A-'B = Therefore, the solution of this system of equations is and y = O Post to forum Question Help: O Message instructor 딤 F3 F10 - ES FB F9 esc F2 # $ & @ * ! 2 4 5 6 7 8 9 1 Q W E R tab А S D F G K os lock Z C V alt B