Linear System Solver (2×2 / 3×3) Calculator
Solves 2×2 and 3×3 systems of linear equations.
Info
The linear system solver solves systems of linear equations (Ax=b) with 2 or 3 unknowns using the **Gauss–Jordan (RREF)** method and automatically identifies the solution type. With this tool you can: - Define the system using coefficient matrix **A** and constants vector **b** - See whether the system has a **unique solution**, **infinite solutions**, or **no solution** - Optionally trace row operations step by step (pivot, normalize, elimination) - Get **determinant** and **rank** (r(A), r([A|b])) analysis for 2×2 / 3×3 systems Tip: If the determinant is very close to 0 or pivots are very small, the system may be **ill-conditioned**. This means small measurement errors can drastically change the solution. Note: This tool performs numerical computation. Results depend on input accuracy and system condition.
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