Solve the following system of equations using LU decomposition. Use partial pivoting (if necessary). 2x1 - 6x 2 - 1x 3 = -38 -3x 1 - 1x 2 + 7x3 = -34 -8x 1 + 1x 2 - 2r3 = -20 %3D find x1,x2,x3.Also find out U22 from upper triangular matrix and 132 from the lower triangular matrix.

Q: Find the LU decomposition of the following system of equation and then find the solution (x1, X2,…

A: Given system of equations can be written as Ax=b where x=x1x2x3 ; b=25-3and A43-5-2-45880.We have to…

Q: Find the matrix of the quadratic form. Assume x is in R°. 5x - 4x3 + 3x3 + 18x,x2 - 4x,×3 b. 3x -…

A: We want to find matrix of given quadratic form.

Q: Find the matrix of the quadratic form associated with the quadratic equation 3x2 − 16xy + 3y2 − 13 =…

A: The given quadratic equation is 3x2-16xy+3y2-13=0. We have to find a matrix.

Q: 2х + Зу + 6z 3D 3 B. Solve the linear system-x + 2y + 2z = -1 Зх — 4у - 5z %3 -6

A:

Q: Solve the following system of equations by LU decomposition: 8x1 + 4x2 - хз %3 11 -2x1 + 5x2 + x3 =…

A:

Q: Consider the matrix A = A. Verify that the matrix B: = I. 2 1 = = B. Use this fact to solve the…

A: AA-1= A-1A = I; where 'I' is the identity matrix.

Q: Solve the system using Gauss elimination method with partial pivoting. Write the Augmented matrix…

A:

Q: Q4C. What system of linear equations is represented by the augmented matrix? 2 2 -5 -6 2x₁ - 5x2 = 3…

A: Given, The augmented matrix 2-52-6-3-1   We have to find the system of linear equations is…

Q: -8x1+3x2-6x3+2x4 = -5 %3D 5x1+6x2+2x3-4x4 = -8 -3x1 +2x2-7x3+5x4 = 4 4x1 -5x2+3x3-6x4 = 9 Solve the…

A:

Q: 2x1 + x₂ − x3 + 3x4 3x1 + C3 – 4 21 – 2 + 3x3 – 54 = = = -3, -2, 1.

A:

Q: x1 + x22x3 4x13x2 + x3 3x12x2 + x3 = 4, = 0, = -2.

A:

Q: Write the system of linear equations 9x – 7y + 5z 3 — 8х — 1у — 92 -2 — бх + 1у — 52 2 as a matrix…

A:

Q: Solve the following system by using the inverse of a matrix (X = A¯¹B): 3x + y = 17 -4x+2y=-6

A: Consider the given system of equations.We need to find the solution of the given system using…

Q: Solve the linear system 3r₁ + 2r-r₁ = 11, 2x₁ + x₂ + 2xy = 9, #1-2x₂+2r₁ = -2 by using the reduced…

A:

Q: Determine which of the points (-3, 1, -1), (5, 6, 4), and (6,-3, 3) satisfy the linear system 9x1…

A: Introduction: A collection of equations can be expressed using an expanded vector. Each entry in an…

Q: • Solve the given system of equations below by applying Doolittle decomposition to the coefficient…

A:

Q: Solve the following system of equation using matrix inversion with LU Decomposition method: -8x₁ +…

A:

Q: Solve the given linear system using LU Decomposition

A:

Q: Q2 // Calculate X1, X2 ,X3 from the fallowing equations by using Gauss Elimination method. 3x1 + x2…

A: Gauss Elimination Method: The Gaussian elimination method is known as the row reduction algorithm…

Q: Find the LU factorization of -3 A = -15 -6 such that the main diagonal of \left[ -4 3 -21 16 -10 10…

A:

Q: x + 3y = 2 2х + у %3-1 X - 3x - y = 3

A:

Q: Using the LU factorization, solve the following linear system 2х, + 4x3 + 10x4 = 18 -2x1 + 3 x2 -…

A: Given system of equations is 2x1+4x3+10x4=18-2x1+3x2-6x3+x4=-114x1+3x2-7x3+5x4=306x1+15x3+12x4=9…

Q: solve 1x + 2y + 3z = 1 2x + 3y + 1z = 2 3x + 1y + 2z = 3 using gauss elimination method. %3D

A:

Q: Q1- Solve the linear system using Inverse matrix method 5x1 + 4x2 = 13 2x1 - 3x2 = -4

A:

Q: Find cofactor C2,1 of the matrix -2 -1 -1 7 5 -1 -17 6 2 8 6 0 -2 5 80

A: Answer Is in step 2.

Q: BELOW ARE THE SYSTEMS OF LINEAR EQUATIONS THAT YOU NEED TO SOLVE USING DIRECT INVERSE OR PINVC…

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

Q: By using the matrix methods to solve the following linear system: r1 +x2 – 13 = 5, 3r1 + 12 - 2r3 =…

A: We have to solve the following linear system of equations: We will write the above system in…

Q: Consider the following system of linear equations for four real variables x1, x2, x3, X4: X2 + x3 –…

A:

Q: 2x + y =2, 4x+3y=7. Find the solution(x=?,y=?) by using the Matrix calculation method including the…

A:

Q: Write the system of linear equations in the form Ax = b. Then use Gaussian elimination to solve this…

A:

Q: y-z = 1 3z = 2 If possible,

A:

Q: (x-3y +3z = -8 7x+y +2z = 6 3x +2y - z = 4

A: Topic:- matrix

Q: 2x1 - x₂ + x3 + 3x4 5x13x₂ + 2x3 + 6x4 3x₁ − 2x2 + 2x3 + 5x4 2X1 – X2 + 3x3 + 74 2, 5, เว 1, 1.

A:

Q: Use elementary row operations to solve the following system x+2y-z+3w = 4 2x+4y-2z+7w = 10…

A:

Q: Find the LU factorization of A = A = and use FORWARD SUBSTITUTION AND BACKWARD SUBSTITUTION to solve…

A:

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.