#include <stdio.h>
#define SIZE 5
// 行列の掛け算を行う関数 (R = M1 * M2)
void multiply_matrices(double m1[SIZE][SIZE], double m2[SIZE][SIZE], double r[SIZE][SIZE]) {
// 結果を格納する配列を一度0で初期化
for (int i = 0; i < SIZE; i++) {
for (int j = 0; j < SIZE; j++) {
r[i][j] = 0;}}
// 行列の積の定義に基づいて計算
for (int i = 0; i < SIZE; i++) {
for (int j = 0; j < SIZE; j++) {
for (int k = 0; k < SIZE; k++) {
r[i][j] += m1[i][k] * m2[k][j];
}}}}
//行列を表示する関数
void print_matrix(double m[SIZE][SIZE]) {
for (int i = 0; i < SIZE; i++) {
for (int j = 0; j < SIZE; j++) {
//小数点以下をきれいに揃えて表示
printf("%6.0f\t", m[i][j]);}
printf("\n");}}
int main() {
//初期行列 A の定義
double A[SIZE][SIZE] = {
        {10, -2,  0,  0,  0},
        {-2,  9, -1,  0,  0},
        { 0, -1,  8, -2,  0},
        { 0,  0, -2,  7, -1},
        { 0,  0,  0, -1,  5}};
double A2[SIZE][SIZE]; // A^2 を格納する配列
double A3[SIZE][SIZE]; // A^3 を格納する配列
//A^2 = A * A を計算
multiply_matrices(A, A, A2);
//A^3 = A^2 * A を計算
multiply_matrices(A2, A, A3);
//結果の表示
printf("--- 行列 A^2 の結果 ---\n");
print_matrix(A2);
printf("\n--- 行列 A^3 の結果 ---\n");
print_matrix(A3);
return 0;}

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