inverse ( matrix -- matrix )

Vocabulary

math.matrices.elimination

Inputs

matrix

a sequence

Outputs

matrix

a sequence

Word description

Computes the multiplicative inverse of a matrix. Assuming the matrix is invertible.

Examples

A matrix multiplied by its inverse is the identity matrix.

USING: kernel math.matrices prettyprint ; FROM: math.matrices.elimination => inverse ; { { 3 4 } { 7 9 } } dup inverse mdot 2 <identity-matrix> = .
t

Definition

USING: kernel math.matrices sequences ;

IN: math.matrices.elimination

: inverse ( matrix -- matrix )
    dup length
    [ <identity-matrix> [ append ] 2map solution ] keep
    [ tail ] curry map ;