What is Linear Systems Solver and Why it Matters?
Solving A x = b is the most frequent task in applied mathematics, supporting analyses from circuit theory to structural mechanics.
Mathematical Formula and Theory
Gaussian elimination with partial pivoting transforms [A|b] into upper-triangular form, followed by back-substitution. Complexity is O(n³).
How to Use This Calculator - Step by Step
- Select system size n.
- Enter coefficient matrix and right-hand side b.
- Click Solve System.
Solved Example with Full Calculation
Solve [[2,1,−1],[−3,−1,2],[−2,1,2]] [x,y,z]T = [8,−11,−3]T. Solution: x=2, y=3, z=−1.