Task 4 The solution of the system of three linear equations: depends on the values of a,b,c,d,, • A unique solution. a₁x + b₁y + c₁z = d₁ a2x + b₂y + c₂z = d₂ ax + by + c₁z = d3 c2d2a,b,c and d¸ The system may have: • No solution. • Infinite solutions. a) Write a function that uses the inputs a,b,c,d, abcd2abc and d to determine whether the system has a unique solution, no solution, or infinite solutions. Use a matrix method (e.g., Gaussian elimination) or MATLAB's "\" operator to compute the solution if it exists. b) Write a separate script (M-file) that uses the function created in part (a) to determine whether the system has a unique solution, no solution, or infinite solutions using the function created in art a. The script should prompt the user for inputs and display the result as one of the three possibilities: • A unique solution. • No solution. . Infinite solutions. Additionally, the script should plot the three planes corresponding to the equations in 3D space. If a unique solution exists, plot the point of intersection. Use a 3D plot over the interval [-10,10] for X, Y, and Z to visually represent the system.

Task 4 The solution of the system of three linear equations: depends on the values of a,b,c,d,, • A unique solution. a₁x + b₁y + c₁z = d₁ a2x + b₂y + c₂z = d₂ ax + by + c₁z = d3 c2d2a,b,c and d¸ The system may have: • No solution. • Infinite solutions. a) Write a function that uses the inputs a,b,c,d, abcd2abc and d to determine whether the system has a unique solution, no solution, or infinite solutions. Use a matrix method (e.g., Gaussian elimination) or MATLAB's "\" operator to compute the solution if it exists. b) Write a separate script (M-file) that uses the function created in part (a) to determine whether the system has a unique solution, no solution, or infinite solutions using the function created in art a. The script should prompt the user for inputs and display the result as one of the three possibilities: • A unique solution. • No solution. . Infinite solutions. Additionally, the script should plot the three planes corresponding to the equations in 3D space. If a unique solution exists, plot the point of intersection. Use a 3D plot over the interval [-10,10] for X, Y, and Z to visually represent the system.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter6: Modularity Using Functions

Section: Chapter Questions

Problem 7PP: (Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is...

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