NAME inverse - inverse of value SYNOPSIS inverse(x) TYPES If x is an object of type xx, the function xx_inv has to have been defined; any conditions on x and the nature of the returned value will depend on the definition of xx_inv. For non-object x: x nonzero number (real or complex) or nonsingular matrix return number or matrix DESCRIPTION For real or complex x, inverse(x) returns the value of 1/x. If x is a nonsingular n x n matrix and its elements are numbers or objects for which the required arithmetic operations are defined, inverse(x) returns the matrix m for which m * x = x * m = the unit n x n matrix. The inverse m will have the same index limits as x. EXAMPLE > print inverse(5/4), inverse(-2/7), inverse(3 + 4i) .8 -3.5 .12-.16i > mat A[2,2] = {2,3,5,7} > print inverse(A) mat [2,2] (4 elements, 4 nonzero): [0,0] = -7 [0,1] = 3 [1,0] = 5 [1,1] = -2 LIMITS none LIBRARY void invertvalue(VALUE *x, VALUE *vres) NUMBER *qinv(NUMBER *x) COMPLEX *cinv(COMPLEX *x) MATRIX *matinv(MATRIX *x) SEE ALSO