Linear Algebra
Linear System Solver
Solve A·x = b by Gaussian elimination.
Formula
Formula
x = A−1 b
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| A | coefficient matrix | real matrix | — | input |
| b | right-hand side | list of real numbers | — | input |
| x | solution | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
GivenA = 2, 1, -1; -3, -1, 2; -2, 1, 2, b = 8, -11, -3
Result[ 2, 3, -1 ]
Example 2
GivenA = 1, 1; 1, -1, b = 5, 1
Result[ 3, 2 ]