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According to the LU-factorization method, the coefficient matrix A of the system with linear equations 7x₁ - 2x2 + x3 = 12, 14x₁ 7x2 3x3 = 17, and −7x₁ + 11x2 + 18x3 = 5 can be written as A = LU, where L is the matrix represented by: LU-ayrışım yöntemine göre, 7x₁2x₂ + x3 = 12, 14x₁7x₂ 3x3 = 17, ve-7x₁ + 11x2 + 18x3 = 5 doğrusal denklemlerinden oluşan sistemin katsayılar matrisi, A = LU olarak yazılabilir; burada L ile temsil edilen matris: O O O O L = L = L = L = L = 7-2 1 0 -3 -5 0 0 4 [1 3 1 -5 1 0 0 1 1 2 1 1 0 0 [1 2 0 0 1 0 0 -1 -2 1 1 -5 0 1 0 0 1 0

According to the LU-factorization method, the coefficient matrix A of the system with linear equations 7x₁ - 2x2 + x3 = 12, 14x₁ 7x2 3x3 = 17, and −7x₁ + 11x2 + 18x3 = 5 can be written as A = LU, where L is the matrix represented by: LU-ayrışım yöntemine göre, 7x₁2x₂ + x3 = 12, 14x₁7x₂ 3x3 = 17, ve-7x₁ + 11x2 + 18x3 = 5 doğrusal denklemlerinden oluşan sistemin katsayılar matrisi, A = LU olarak yazılabilir; burada L ile temsil edilen matris: O O O O L = L = L = L = L = 7-2 1 0 -3 -5 0 0 4 [1 3 1 -5 1 0 0 1 1 2 1 1 0 0 [1 2 0 0 1 0 0 -1 -2 1 1 -5 0 1 0 0 1 0

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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According to the LU-factorization method, the coefficient matrix A of the system with linear equations 7x₁ − 2x2 + x3 = 12, 7x2 – 3x3 = 17, and −7x₁ + 11x2 + 18x3 = 5 can be written as A = LU, where L is the matrix represented by: 14x₁ LU-ayrışım yöntemine göre, 7x₁ − 2x2 + x3 = 12, 14x₁ – 7x2 – 3x3 = 17, ve −7x₁ + 11x2 + 18x3 = 5 doğrusal denklemlerinden oluşan sistemin katsayılar matrisi, A = LU olarak yazılabilir; burada L ile temsil edilen matris: O O O - O L = L = L = L = L = [7 -2 1 0 -3 -5 0 0 4 1 3 1 -5 1 1/2 0 0 1 1 0 0 2 1 0 1 0 -1 1 0 0 -2 1 1 -5 0 1 [1 0 2 0 −1 -3 1 10
Transcribed Image Text:According to the LU-factorization method, the coefficient matrix A of the system with linear equations 7x₁ − 2x2 + x3 = 12, 7x2 – 3x3 = 17, and −7x₁ + 11x2 + 18x3 = 5 can be written as A = LU, where L is the matrix represented by: 14x₁ LU-ayrışım yöntemine göre, 7x₁ − 2x2 + x3 = 12, 14x₁ – 7x2 – 3x3 = 17, ve −7x₁ + 11x2 + 18x3 = 5 doğrusal denklemlerinden oluşan sistemin katsayılar matrisi, A = LU olarak yazılabilir; burada L ile temsil edilen matris: O O O - O L = L = L = L = L = [7 -2 1 0 -3 -5 0 0 4 1 3 1 -5 1 1/2 0 0 1 1 0 0 2 1 0 1 0 -1 1 0 0 -2 1 1 -5 0 1 [1 0 2 0 −1 -3 1 10
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