Problem 44946. Solve a System of Linear Equations

• Created by Pooja Lalan
• Appears in 2 groups

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By solving this problem, you will make progress in the following group(s)

Computational Geometry IV

• 20 Problems
• 12 Finishers

Advent of Code

• 25 Problems
• 5 Finishers

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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

Solve

Solution Stats

55.09% Correct | 44.91% Incorrect

• 25756 Solutions
• 12713 Solvers

Last Solution submitted on Mar 28, 2025

Last 200 Solutions

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