Datasets:
Kant1
/
French_Wikibooks_articles

Dataset card Data Studio Files Community
1
text
stringlengths
0
211k
Ax1=b1
Ax2=b2
Axn=bn
We can write these equalities in this maner.
A|x1|x2|...|xn| = b1|b2|...|bn|
or simply :
AX = B
where B = b1|b2|...|bn
and X = x1|x2|...|xn
--------------------------------------
We want to find X such as,
AX = B
If A is a square matrix and,
If A has an inverse matrix,
you can find X by this method
X = inv(A) B
To verify the result you can
multiply the matrix A by X.
You must refind B.
--------------------------------------
A :
+4 +2 +3
+5 +3 +1
+8 +2 +2
b1 b2 ... bn :
+3 +4 +9
+2 +5 +8
+1 +6 +7
inv(A) :
-1.3333e-01 -6.6667e-02 +2.3333e-01
+6.6667e-02 +5.3333e-01 -3.6667e-01
+4.6667e-01 -2.6667e-01 -6.6667e-02
X = inv(A) * B :
x1 x2 ... xn
-0.3000 +0.5333 -0.1000
+0.9000 +0.7333 +2.3000
+0.8000 +0.1333 +1.6000
--------------------------------------
b1 b2 ... bn :
+3 +4 +9
+2 +5 +8
+1 +6 +7
Ax1 Ax2 ... Axn :
+3 +4 +9
+2 +5 +8
+1 +6 +7
Press return to continue.
Mathc complexes/a197
Application
Installer et compiler ces fichiers dans votre répertoire de travail.
/* Save as : c01a.c */
int main(void)
double a[RA*(CA*C2)] ={ 1,2, 3,4, 5,6,
5,4, 1,3, 6,8,
7,2, 5,1, 1,1};
double b[RA*(Cb*C2)] ={ 1,2,
3,4,
5,6 };
double **A = ca_A_mZ(a,i_mZ(RA,CA));
double **B = ca_A_mZ(b,i_mZ(RA,Cb));
double **Inv = i_mZ(RA,CA);
double **X = i_mZ(RA,Cb);
double **T = i_mZ(RA,Cb);
clrscrn();
printf(" We want to find X such as, \n\n");
printf(" AX = B \n\n");
printf(" If A is a square matrix and, \n\n");
printf(" If A has an inverse matrix, \n\n");
printf(" you can find X by this method\n\n");
printf(" X = inv(A) B \n\n\n");
printf(" To verify the result you can \n\n");
printf(" multiply the matrix A by X. \n\n");
printf(" You must refind B. \n\n");
getchar();
clrscrn();
printf(" A :\n");
p_mZ(A, S5,P0, S4,P0, C6);
printf(" B :\n");
p_mZ(B, S5,P0, S4,P0, C6);
getchar();
clrscrn();
printf(" inv(A) :\n");
pE_mZ(inv_mZ(A,Inv), S12,P4, S12,P4, C4);
printf(" X = inv(A) * B :\n");
p_mZ(mul_mZ(Inv,B,X), S10,P4, S8,P4, C4);
getchar();
clrscrn();
printf(" B :\n");
p_mZ(B, S5,P0, S4,P0, C6);
printf(" AX :\n");
p_mZ(mul_mZ(A,X,T), S5,P0, S4,P0, C6);
f_mZ(T);
f_mZ(X);
f_mZ(B);
f_mZ(Inv);