Linear Algebra and the C Language/a09h

__NOTOC__ Install and compile this file in your working directory. /* ------------------------------------ */ /* Save as: c00a2.c */ /* ------------------------------------ */ #include "v_a.h" /* ------------------------------------ */ /* ------------------------------------ */ #define RAb R2 #define CA C6 #define Cb C1 /* ------------------------------------ */ # define FREEV C4 /* ------------------------------------ */ /* ------------------------------------ */ int main(void) { double ab[RAb*(CA+C1)]={ -18, -549, -119, -715, -233, -640, 30, +152, -42, -910, -730, +359, -799, 800 }; double **Ab = ca_A_mR(ab, i_Abr_Ac_bc_mR(RAb, CA, Cb)); double **Ab_free = i_Abr_Ac_bc_mR(CA, CA, Cb + FREEV); double **b_free = i_mR(CA, Cb + FREEV); double **A = c_Ab_A_mR(Ab, i_mR(RAb, CA)); double **b = c_Ab_b_mR(Ab, i_mR(RAb, Cb)); double **Ax = i_mR(RAb, Cb + FREEV); clrscrn(); printf(" Ab:"); p_mR(Ab, S8,P3,C11); gj_PP_mR(Ab,NO); /* You can try with gj_PP_mR(Ab,YES); */ put_zeroR_mR(Ab,Ab_free); /* you get the same result!!! */ put_freeV_mR(Ab_free); gj_PP_mR(Ab_free,YES); c_Ab_b_mR(Ab_free,b_free); printf(" b:"); p_mR(b, S8,P3,C11); printf(" x:"); p_mR(b_free, S8,P3,C11); printf(" Ax:"); p_mR(mul_mR(A,b_free, Ax), S8,P3,C11); stop(); f_mR(Ab); f_mR(Ab_free); f_mR(b_free); f_mR(A); f_mR(b); f_mR(Ax); return 0; } /* ------------------------------------ */ /* ------------------------------------ */ You can see that the vectors row of A are orthogonal to the vectors column of the free variables. <RowA,ColomnFreeV> = 0 Screen output example: Ab: -18.000 -549.000 -119.000 -715.000 -233.000 -640.000 +30.000 +152.000 -42.000 -910.000 -730.000 +359.000 -799.000 +800.000 b: +30.000 +800.000 x: +5.201 +5.874 +4.403 -2.457 +4.890 -0.225 -0.409 -1.447 -0.344 -1.326 +0.000 +1.000 +0.000 +0.000 +0.000 +0.000 +0.000 +1.000 +0.000 +0.000 +0.000 +0.000 +0.000 +1.000 +0.000 +0.000 +0.000 +0.000 +0.000 +1.000 Ax: +30.000 +0.000 +0.000 +0.000 +0.000 +800.000 -0.000 -0.000 -0.000 -0.000 Press return to continue.