Task 4 The solution of the system of three linear equations: a₁x + b₁y + c₁z = d₁ a2x + b₂y + z = ax + by + c₁z = d¸ depends on the values of a,b,c,d, abcdabc and d¸ The system may have: . A unique solution. • No solution. . Infinite solutions. a) Write a function that uses the inputs a,b,c,d, abcdab2c 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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Task 4
The solution of the system of three linear equations:
a₁x + b₁y + c₁z = d₁
a2x + b₂y + z =
ax + by + c₁z = d¸
depends on the values of a,b,c,d, abcdabc and d¸ The system may have:
.
A unique solution.
•
No solution.
.
Infinite solutions.
a) Write a function that uses the inputs a,b,c,d, abcdab2c 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.
Transcribed Image Text:Task 4 The solution of the system of three linear equations: a₁x + b₁y + c₁z = d₁ a2x + b₂y + z = ax + by + c₁z = d¸ depends on the values of a,b,c,d, abcdabc and d¸ The system may have: . A unique solution. • No solution. . Infinite solutions. a) Write a function that uses the inputs a,b,c,d, abcdab2c 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.
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