Linear Algebra and the C Language/a0cn

__NOTOC__ Install and compile this file in your working directory. /* ------------------------------------ */ /* Save as : c00b.c */ /* ------------------------------------ */ #include "v_a.h" /* ------------------------------------ */ #define RCA C3 /* ------------------------------------ */ int main(void) { double a[RCA*RCA]={ +3,-5,+3, -5,+4,+4, +3,+4,+7 }; double R = 6; double **A = ca_A_mR(a, i_mR(RCA,RCA)); double **EVector = eigs_V_mR(A, i_mR(RCA,RCA)); double **EVectorT = transpose_mR(EVector, i_mR(RCA,RCA)); double **T1 = i_mR(RCA,RCA); double **T2 = i_mR(RCA,RCA); clrscrn(); printf(" If %+.0fx^2 %+.0fy^2 %+.0fz^2 " " %+.0fxy %+.0fxz %+.0fyz= %+.0f \n\n" " Can you give a description of the curve " " in the standar basis?\n\n", A[R1][C1], A[R2][C2], A[R3][C3], 2*(A[R2][C1]), 2*(A[R3][C1]), 2*(A[R3][C2]), R); printf(" A:"); p_mR(A,S10,P4,C6); printf(" EVector:"); p_mR(EVector,S10,P4,C6); printf(" EValue : EVectorT A EVector"); mul_mR(EVectorT,A,T1); mul_mR(T1,EVector,T2); p_mR(T2,S10,P4,C6); printf(" Then : %+.3f x^2 %+.3f y^2 %+.3f z^2 = %.3f \n\n" " It is an hyperboloid of one sheet\n\n", T2[R1][C1], T2[R2][C2], T2[R3][C3], R); stop(); clrscrn(); printf(" Copy/Paste into the octave windows \n\n"); p_Octave_mR(A,"a",P0); printf(" [V, E] = eigs (a,%d) \n\n",RCA); stop(); f_mR(A); f_mR(EVector); f_mR(EVectorT); f_mR(T1); f_mR(T2); return 0; } /* ------------------------------------ */ /* ------------------------------------ */ Screen output example: If +3x^2 +4y^2 +7z^2 -10xy +6xz +8yz= +6 Can you give a description of the curve in the standar basis? A: +3.0000 -5.0000 +3.0000 -5.0000 +4.0000 +4.0000 +3.0000 +4.0000 +7.0000 EVector: -0.1309 +0.7469 +0.6519 +0.6353 -0.4417 +0.6335 +0.7611 +0.4971 -0.4167 EValue : EVectorT A EVector +9.8227 -0.0000 -0.0000 -0.0000 +7.9534 +0.0000 +0.0000 +0.0000 -3.7761 Then : +9.823 x^2 +7.953 y^2 -3.776 z^2 = 6.000 It is an hyperboloid of one sheet Press return to continue.