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Please show all steps clearly. thanks 1. (40 points) Rearrange the equations to form a strictly...
Rearrange the equations to form a strictly diagonally dominant system. Use the Jacobi iterative method and Gauss-Seidel methods with an initial vector (0, 0, 0) and 10 iterations to approximate the solution of the system. Solve the system directly and compare your results. X - 8Y - 2Z = 1 X + Y + 5Z = 4 3X - Y +Z = -2
Fundamentals: Jacobi and Gauss-Seidel Methods Consider the 4-equations for 4-unknowns, written in matrix form at right. Reorder the equations to form a new Ax b problem where the new matrix A is "strictly diagonally dominant" (or at least the "best you can do" to make as "strong" a diagonal as possible). -5 3 4 2x2 3 3 14 -1-212」(x,
this is from differential equations ch8 section 2 please write
clearly and show all steps. thanks!
Use the methods of section 8.3 to find the general solutions of the given systems of differential equations in the following two problems. 4. = X-1 dx dt dy dt = -x + 2y
plz show all steps
3. Consider the linear system of equations 21-62-33-38 22T3 initial guess r0,0,apply, by hand, the Jacobi iteration until the approx- imate relative error falls below 7%. b) With the same initial guess as in a), solve the system using Gauss-Seidel method.
3. Consider the linear system of equations 21-62-33-38 22T3 initial guess r0,0,apply, by hand, the Jacobi iteration until the approx- imate relative error falls below 7%. b) With the same initial guess as in a),...
this is differential equations, please write clearly and show
work. thanks
Use the methods of section 8.2 to find the general solutions of the given systems of differential equations in the following three problems. 1. = x + y dx dt dy dt = 5x - 3y
this is from differential equations ch8 section 2. please write
clearly and show all steps
Use the methods of section 8.2 to find the general solutions of the given systems of differential equations in the following three problems. 2. dx dt 2x + y dy = -x + 4y dt
Please explain clearly and show all steps. Thank you.
A cuboid is bounded by the planes x=0, x=1, y=0, y=3, z=0 and z=2. Use Gauss' Divergence Theorem to calculate SSsF. NºdS, the flux of the vector field F =x2i® + zjº+yk outward of the cuboid through its surfaces.
just 1,2,4
Problem 1 Consider the linear system of equations Ax = b, where x € R4X1, and A= 120 b = and h= 0.1. [2+d -1 0 0 1 1 -1 2+d -1 0 h2 0 -1 2 + 1 Lo 0 -1 2+d] 1. Is the above matrix diagonally dominant? Why 2. Use hand calculations to solve the linear system Ax = b with d=1 with the following methods: (a) Gaussian elimination. (b) LU decomposition. Use MATLAB (L,...
Thanks so much!
14. Find the vector form and the point normal form of the equations for the plane through the three points P = (3,3,3), Q = (1, 2, 2),and R = (1,5,1). Note that these points are not vectors. Show the calculation of the normal vector. Don't forget to give both forms and show your calculations. [8 points)
I'm lost on part b, please show all work/steps & write
clearly please thanks!