Cody

Problem 44946. Solve a System of Linear Equations

Example:

If a system of linear equations in x₁ and x₂ is:

2 x₁ + 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

Solve

Solution Stats

57.01% Correct | 42.99% Incorrect
Last Solution submitted on Jan 18, 2020

Problem Comments

Problem Recent Solvers364

Suggested Problems

More from this Author13