invertible-matrix? ( matrix -- ? )
Extra matrix operations

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Vocabulary
math.matrices.extras

Inputs

matrix

a matrix

Outputs

?

a boolean

Word description
Tests whether the input matrix has a multiplicative-inverse. In order for a matrix to be invertible, it must be a square-matrix, or, if it is non-square, it must not be of +deficient-rank+.

Examples

USING: math.matrices.extras prettyprint ;

Definition

USING: kernel math math.matrices math.order sequences ;

IN: math.matrices.extras

: invertible-matrix? ( matrix -- ? )
    [ dimension first2 max <identity-matrix> ] keep
    dup recip mdot = ;