46 lines
1.1 KiB
C
46 lines
1.1 KiB
C
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/* Inverse de la matrice de Hilbert */
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#include <stdio.h>
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#include <math.h>
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int facto(int n);
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int facto(int n) {
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// Correct pour n ≤ 12
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if (n <= 1) {
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return 1;
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} else {
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return n*facto(n-1);
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}
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}
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int main() {
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int n;
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printf("Saisissez n : ");
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scanf("%d", &n);
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int i, j;
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for (i = 1; i <= n; i++) {
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for (j = 1; j <= n; j++) {
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printf("%11d ", (pow(-1, i+j)*facto(n+i-1)*facto(n+j-1))/((i+j-1)*pow(facto(i-1)*facto(j-1), 2)*facto(n-i)*facto(n-j)));
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}
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printf("\n");
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}
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return 0;
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}
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// 3)
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//
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// Saisissez n : 4
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// 1072693248 1072693248 1073741824 1075314688
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// 1072693248 1072693248 1073741824 1075314688
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// 1073741824 1073741824 1074790400 1076363264
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// 1075314688 1075314688 1076363264 1078067200
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//
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// Saisissez n : 5
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// 1072693248 1072693248 1073741824 1075314688 1077411840
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// 1072693248 1072693248 1073741824 1075314688 1077411840
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// 1073741824 1073741824 1074790400 1076363264 1078460416
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// 1075314688 1075314688 1076363264 1078067200 1080164352
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// 1077411840 1077411840 1078460416 1080164352 1082261504
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