What If Linear Equations Could Be Solved Instantly?

This paper presents a collection of constant-time (O(1)) methods for solving linear
equations and matrix inversion. The work begins with the 2X method for solving
2x2 linear systems through direct computation, followed by a formal proof. A
symbolic and practical O(1) method for computing 2x2 matrix inverses is then
presented. Finally, a diagrammatic and algebraic method is introduced for solving
3x3 linear systems.