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: Determine if (inconsistent or consistent) the system of linear equation. Use row operation and show…

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Q: Reduce the system to upper triangular for by two row operations. 2x+3y+z = 8, 4x+7y+5z = 20, -2y+2z…

A: Given Data: Equation 1: 2x+3y+z = 8 Equation 2: 4x+7y+5z = 20 Equation 3: -2y+2z =0 The augmented…

Q: -9 9,

A: Given: Matrix A A=145-9-7-1-2-131-2-303-10-3-649 To Find: Row Echelon form using Gauss Elimination…

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

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Q: Q.4// Solve the following system of linear equations using matrices: x+y 2z = 3 3x-y+z=0 3x + 3y +…

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Q: Give the augmented matrix for the following system of linear equations. 3xTx2+10x4-7x5 = 1…

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Q: 1. For the following set of simultaneous equation: a. Form the augmented coefficient matrix. b.…

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Q: Use an inverse matrix to solve the system of linear equations. 5x1 + 4x2 -X1 + X2 = -33 39 %3D (X1,…

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Q: Consider the system of linear equations 2x + 7y = 40, 2x - 9y = 110. Write this system in matrix…

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Q: Consider the following system of linear equations for four real variables x1, x2, X3, X4: x2 + x3 –…

A: x2+x3-2x4=-3x1+2x2-x3=22x1+4x2+x3-3x4=-2x1-4x2-7x3-x4=-1011-212-10241-31-4-7-1x1x2x3x4=-32-2-19Let…

Q: 6х — 4у — 7z %3 -8x + 8y – 1z = 8х — 5у — 92 - 7 -

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

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Q: According to the LU-factorization method, the coefficient matrix A of the system with linear…

A: We need to find L.

Q: Consider the following system of linear equations: xq-3x2+3x3 = 15 2x1-x2-9x3 = -10 -2x7+5x2-2x3 =…

A: Given system of linear equations ,                   x1-3x2+3x3 =15    2x1-x2-9x3 =-10-2x1+5x2-2x3 =…

Q: Find the least-squares solution of the system fe || II 1 3 2 4 x 6 E 16

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

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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: Describe and compare the solution sets of x₁ + 4x2 - 7x3 = 0 and X₁ + 4x2 - 7x3 = -6. X₁ Describe…

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Q: 4 -x1   + 2x2  +     3x3               - x5  +  15x6 = 10 -2x1 -  3x2  +   13x3  -  3x4  -  2x5  -…

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Q: Find the least-squares solution of the system 1 -5 169 11

A: Given,11-11111-111-1-1x→ = -77-5-3here,A = 11-11111-111-1-1  and b =  -77-5-3

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

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Q: Using the matrix notation, write the system of linear equations: 2x — Х4 = -1 5x1 + x2 = -1 X3 = 1…

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

A: Topic:- matrix

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

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Q: - 9x 18x 9x X = y = Z = = ++ 3y + gy 3y - - 4z 4z = 2z = - 24 30 18

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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.