#include #include void main( void ){ float buffer,*p; //定义数组首地址指针变量 short int row,num; //定义矩阵行数row及矩阵元素个数 short int i,j; float determ; //定义矩阵的行列式 float comput_D(float *p,short int n); //求矩阵的行列式 float Creat_M(float *p, short int m,short int n,short int k); //求代数余子式 void Print( float *p,short int n); //打印n×n的矩阵 printf("\nPlease input the number of rows: "); scanf("%d",&row); num=2 * row * row; buffer = (float *)calloc(num, sizeof(float)); //分配内存单元 p=buffer; if(p != NULL) { for(i=0;i<row;i++) //输入各单元值 { printf("Input the number of %d row ",i+1); for(j=0;j<row;j++) { scanf("%f",p++); } } } else printf( "Can't allocate memory\n" ); printf("\nThe original matrix is:\n"); Print(buffer,row); //打印该矩阵 determ=comput_D(buffer,row); //求整个矩阵的行列式 p=buffer + row * row; if (determ != 0) { for (i=0;i<row; i++) //求逆矩阵 for (j=0; j<row; j++) *(p+j*row+i)= Creat_M(buffer,i,j,row)/determ; printf("The determinant is %G\n",determ); p=buffer + row * row; printf("\nThe inverse matrix is:\n"); Print(p,row); //打印该矩阵 } else printf("The determnant is 0, and there is no inverse matrix !\n"); free( buffer );}//--------------------------------------------------------//功能：求矩阵 n X n 的行列式//入口参数：矩阵首地址 p；矩阵行数 n//返回值：矩阵的行列式值//--------------------------------------------------------float comput_D(float *p,short int n) { short int i,j,m; //i--row; j--column short int lop=0; float result=0; float mid=1; if (n!=1) { lop=(n==2)?1:n; //控制求和循环次数，若为2阶，则循环1次，否则为n次 for(m=0;m<lop;m++) { mid=1; //顺序求和 for(i=0,j=m;i<n;i++,j++) mid = mid * ( *(p+i*n+j%n) ); result+=mid; } for(m=0;m<lop;m++) { mid=1; //逆序相减 for(i=0,j=n-1-m+n; i<n; i++,j--) mid=mid * ( *(p+i*n+j%n)); result-=mid; } } else result=*p; return(result);}//----------------------------------------------------//功能：求k×k矩阵中元素A(mn)的代数余子式//入口参数：k×k矩阵首地址；元素A的下标m,n; 矩阵行数 k//返回值： k×k矩阵中元素A(mn)的代数余子式//----------------------------------------------------float Creat_M(float *p, short int m,short int n,short int k){ short int len; short int i,j; float mid_result=0; short int quo=1; float *p_creat,*p_mid; len=(k-1)(k-1); p_creat = (float )calloc(len, sizeof(float)); //分配内存单元 p_mid=p_creat; for(i=0;i<k;i++) for(j=0;j<k;j++) { if (i!=m && j!=n) *p_mid++ = (p+i*k+j); } // Print(p_creat,k-1); quo = (m + n) %2==0 ? 1:-1; mid_result = (float ) quo * comput_D(p_creat,k-1); free(p_creat); return(mid_result);}//-------------------------------------------//功能：打印n×n的矩阵//入口参数：n×n矩阵的首地址；该矩阵的行数 n//返回值： 无//-------------------------------------------void Print( float *p,short int n) { int i,j; for (i=0;i<n;i++) { for (j=0; j<n;j++) printf("%10G ",*p++); printf("\n"); } printf("--------------\n");}

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