mldivide

Matrix left division (A \ B).

Syntax

C = mldivide(A, B)

Description

Returns A \ B — the solution X to A * X = B. For square non-singular A, equivalent to inv(A) * B but faster and more numerically stable. For non-square A, returns the least-squares solution. Same as the \ operator on matrices.

For large or specially-structured systems, linsolve lets you provide structure hints for additional speed.

Examples

A = magic(3); b = [15; 15; 15];
x = A \ b                   % solves A*x = b
norm(A*x - b)               % near-zero

See also

• mrdivide — Matrix right division (A / B).
• linsolve — Solve a linear system with optional structure hints.
• inv — Matrix inverse.