#define M 3 #define N 3 /* pseudoinverse */ int main() { /* singular matrix rank(a) == 1 */ array double a[M][N] = {1, 2, 3, 1, 2, 3, 2, 4, 6}; int r; array double pinv[N][M]; r = rank(a); pinv = pinverse(a); printf("rank(a) = %d\n", r); printf("pinverse(a) = \n%f\n", pinv); printf("a*pinverse(a)*a = \n%f\n", a*pinv*a); printf("pinverse(a)*a*pinverse(a) = \n%f\n", pinv*a*pinv); }
rank(a) = 1 pinverse(a) = 0.011905 0.011905 0.023810 0.023810 0.023810 0.047619 0.035714 0.035714 0.071429 a*pinverse(a)*a = 1.000000 2.000000 3.000000 1.000000 2.000000 3.000000 2.000000 4.000000 6.000000 pinverse(a)*a*pinverse(a) = 0.011905 0.011905 0.023810 0.023810 0.023810 0.047619 0.035714 0.035714 0.071429