1. Determine the values of the variables to satisfy the equation using Jacobi. 5a – 2b = 40 a + 3b = 25 Ans. a = 10, b = 5

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.5: Multiplication With The Addition-or-subtraction Method
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1.
Determine the values of the variables to satisfy the equation using Jacobi.
5a – 2b = 40
a + 3b = 25
Ans. a = 10, b = 5
2.
Determine the values of the variables to satisfy the equation using Gauss-Seidel.
3V – C + 2Q = -13
2V + 5C – Q = 21
V – 2C + 3Q = -18
Ans.V = -1,C = 4, Q = –3
3.
Determine the values of the variables to satisfy the equation using a) Jacobi and b) Gauss-Seidel.
3x + 2y – z = -2.1
-4x + y + 7z = 26.2
2x – 4y + z = 4.2
Ans. x = 0.5, y = 0. 2, z = 4
Transcribed Image Text:1. Determine the values of the variables to satisfy the equation using Jacobi. 5a – 2b = 40 a + 3b = 25 Ans. a = 10, b = 5 2. Determine the values of the variables to satisfy the equation using Gauss-Seidel. 3V – C + 2Q = -13 2V + 5C – Q = 21 V – 2C + 3Q = -18 Ans.V = -1,C = 4, Q = –3 3. Determine the values of the variables to satisfy the equation using a) Jacobi and b) Gauss-Seidel. 3x + 2y – z = -2.1 -4x + y + 7z = 26.2 2x – 4y + z = 4.2 Ans. x = 0.5, y = 0. 2, z = 4
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