multiplicative-inverse ( x -- y )
Extra matrix operations
Extra matrix operations
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Vocabulary
math.matrices.extras
Inputs
Outputs
Word description
Calculate the multiplicative inverse of the input.
If the input is a square-matrix, this is done by multiplying the transpose of the cofactors of the minors of the input matrix by the inverse of the determinant of the input matrix.
Notes
Errors
non-square-determinant if the input matrix is not a square-matrix.
Definition
math.matrices.extras
Inputs
| x | a matrix |
Outputs
| y | a matrix |
Word description
Calculate the multiplicative inverse of the input.
If the input is a square-matrix, this is done by multiplying the transpose of the cofactors of the minors of the input matrix by the inverse of the determinant of the input matrix.
Notes
| • | The shape of the input matrix is preserved in the output. |
| • | This word is intended for use with "flat" (2-dimensional) matrices. |
| • | This word assumes that elements of the input matrix are compatible with the following words: determinant ( matrix -- determinant )  >cofactors ( matrix -- matrix' ) 1/det ( matrix -- 1/det ) |
Errors
non-square-determinant if the input matrix is not a square-matrix.
Definition