inv

Matrix inverse.

Syntax

Y = inv(X)

Description

Returns the inverse of the square matrix X. X must be square and non-singular; numerically singular inputs return an Inf-filled result and trigger a warning.

For solving the linear system A*X = B, prefer linsolve or the \ operator over inv(A)*B — they are faster and more numerically accurate.

Examples

A = [1 2; 3 4];
B = inv(A)               % [-2 1; 1.5 -0.5]
A * B                    % I (within eps)

See also

• linsolve — Solve a linear system with optional structure hints.
• det — Determinant of a square matrix.
• rcond — Reciprocal condition number estimate (1-norm).