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
-
6 Comments
Show
3 older comments
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
未来
on 30 Dec 2024
好!
Solution Comments
Show commentsGroup

Project Euler II
- 12 Problems
- 51 Finishers
- Sums of cubes and squares of sums
- Sum of big primes without primes
- Project Euler: Problem 11, Largest product in a grid
- Highly divisible triangular number (inspired by Project Euler 12)
- Divisors for big integer
- Large Sum (inspired by Project Euler 13)
- Longest Collatz Sequence
- Project Euler: Problem 16, Sums of Digits of Powers of Two
- Project Euler: Problem 18, Maximum path sum I
- Recurring Cycle Length (Inspired by Project Euler Problem 26)
- Numbers spiral diagonals (Part 1)
- Numbers spiral diagonals (Part 2)
Problem Recent Solvers12681
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!