[Cody] 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

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function x = solve_lin(theta)

    a = [cos(theta), sin(theta); -sin(theta), cos(theta)];
    b = [1; 1];
    x = a \ b;
end