Problem 44946. Solve a System of Linear Equations
Example:
If a system of linear equations in x₁ and x₂ is:
2x₁ + x₂ = 2
x₁ - 4 x₂ = 3
Then the coefficient matrix (A) is:
2 1
1 -4
And the constant vector (b) is:
2
3
To solve this system, use mldivide ( \ ):
x = A\b
Problem:
Given a constant input angle θ (theta) in radians, create the coefficient matrix (A) and constant vector (b) to solve the given system of linear equations in x₁ and x₂.
cos(θ) x₁ + sin(θ) x₂ = 1
-sin(θ) x₁ + cos(θ) x₂ = 1
Solution Stats
Problem Comments
-
5 Comments
Show
2 older comments
Vijay Anand Ramachandran
on 26 Apr 2020
The problem statement clearly states to use mldivide (\)
How can the leading solution be cos(theta)+sin(theta)*[-1;1]
Sindhuja Thonti
on 20 Jul 2020
My code is working perfectly on my desktop Matlab version, but here it's not accepting and displaying as incorrect..anyone help me out!
goc3
on 29 Sep 2020
The syms function is in a toolbox—Cody does not currently support any toolbox functions.
yuxiang
on 10 Sep 2022
what is coefficient matrix?I can't understand the meaning of the question
poonam k
on 23 Jun 2024
simple problem
Solution Comments
Show commentsProblem Recent Solvers11772
Suggested Problems
-
Create a cell array out of a struct
1790 Solvers
-
Determine Whether an array is empty
773 Solvers
-
Getting the indices from a vector
9692 Solvers
-
882 Solvers
-
304 Solvers
More from this Author13
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!