Part 2) Problem-8 in EECS1540-Additional Examples-06Mar2022.pdf solves a system of linear equations usin Jacobi's method. Develop the following function based on the provided description below and the probler solution. function Jacobi (A,B) result (X) !----- ! This function solves a system of linear equations (with maximum 3 variables) using Jacobi's Method. ! If a system linear equations presented in matrix form as: [A]X=[B], this function will output X. The! ! output of the function, X, is a 3x1 vector which elements are the solutions of the linear system. !----- real (kind=8), dimension (3,3), intent (in) :: A real (kind=8), dimension (3), intent (in) :: B real (kind=8), dimension (3) ::X
Part 2) Problem-8 in EECS1540-Additional Examples-06Mar2022.pdf solves a system of linear equations usin Jacobi's method. Develop the following function based on the provided description below and the probler solution. function Jacobi (A,B) result (X) !----- ! This function solves a system of linear equations (with maximum 3 variables) using Jacobi's Method. ! If a system linear equations presented in matrix form as: [A]X=[B], this function will output X. The! ! output of the function, X, is a 3x1 vector which elements are the solutions of the linear system. !----- real (kind=8), dimension (3,3), intent (in) :: A real (kind=8), dimension (3), intent (in) :: B real (kind=8), dimension (3) ::X
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![Part 2) Problem-8 in EECS1540-Additional Examples-06Mar2022.pdf solves a system of linear equations using
Jacobi's method. Develop the following function based on the provided description below and the problem
solution.
function Jacobi (A, B) result (X)
T-----
! This function solves a system of linear equations (with maximum 3 variables) using Jacobi's Method.
! If a system linear equations presented in matrix form as: [A]X=[B], this function will output X. The!
! output of the function, X, is a 3x1 vector which elements are the solutions of the linear system.
real (kind=8), dimension (3,3), intent (in) :: A
real (kind=8), dimension (3), intent (in) :: B
real (kind=8), dimension (3) : :X
Page 1 of 2
end function Jacobi
Note: Below you can see a system of three linear equotions in three variables (left) and its matrix form representation (right). In the below matrix
representation of the linear system, the 3x3 matrix on the left side of the equation is called coefficient matrix and the 3x1 matrix on the right side of the
equation is called the column vector of constant terms.
ajx + b¡y + c1z = d\
a, bi c1
az bz c2
azx + b2y + c2z = dz
azx + byy + c3z = d3
a3 b3 c3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a523bf4-566d-44e8-913a-10e631b66e94%2Fda167b0c-58ec-4827-a5a3-e40a425ea032%2Fphrrb77_processed.png&w=3840&q=75)
Transcribed Image Text:Part 2) Problem-8 in EECS1540-Additional Examples-06Mar2022.pdf solves a system of linear equations using
Jacobi's method. Develop the following function based on the provided description below and the problem
solution.
function Jacobi (A, B) result (X)
T-----
! This function solves a system of linear equations (with maximum 3 variables) using Jacobi's Method.
! If a system linear equations presented in matrix form as: [A]X=[B], this function will output X. The!
! output of the function, X, is a 3x1 vector which elements are the solutions of the linear system.
real (kind=8), dimension (3,3), intent (in) :: A
real (kind=8), dimension (3), intent (in) :: B
real (kind=8), dimension (3) : :X
Page 1 of 2
end function Jacobi
Note: Below you can see a system of three linear equotions in three variables (left) and its matrix form representation (right). In the below matrix
representation of the linear system, the 3x3 matrix on the left side of the equation is called coefficient matrix and the 3x1 matrix on the right side of the
equation is called the column vector of constant terms.
ajx + b¡y + c1z = d\
a, bi c1
az bz c2
azx + b2y + c2z = dz
azx + byy + c3z = d3
a3 b3 c3
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