如何用C语言求一个三阶矩阵的逆矩阵

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如何用C语言求一个三阶矩阵的逆矩阵,第1张

C语言求任意阶矩阵的逆矩阵程序

#include <malloc.h>

#include <stdio.h>

/// <summary>

/// 求行列式绝对值

/// </summary>

/// <param name="src">输入的矩阵</param>

/// <param name="n">矩阵的阶数</param>

/// <returns>矩阵对应行列式的值</returns>

double mat_det(double *src[], const unsigned n){

if (2 >n) return src[0][0]

int subsize = n - 1

double **subvet = (double **) malloc(sizeof(double *)*subsize)

for (int i = 0i <subsize++i)

subvet[i] = src[i+1]

double value = mat_det(subvet, subsize) * src[0][subsize] * ((subsize &1) ? -1 : 1)

for (int i = 0i <subsize++i){

subvet[i] = src[i]

value += mat_det(subvet, subsize)*src[i + 1][subsize] * ((n + i &1) ? -1 : 1)

}

free(subvet)

return value

}

/// <summary>

/// 求矩阵指定位置元素代数余子式的值

/// </summary>

/// <param name="src">输入的矩阵</param>

/// <param name="n">矩阵的阶数</param>

/// <param name="x">矩阵指定元素坐标的x值</param>

/// <param name="y">矩阵指定元素坐标的y值</param>

/// <returns>矩阵指定元素对应代数余子式的值</returns>

double mat_minor(double *src[], const unsigned n, const unsigned x, const unsigned y){

double **minmat = (double **) malloc(sizeof(double *)*(n - 1))

for (unsigned i = 0i<n - 1++i){

minmat[i] = (double *) malloc(sizeof(double)*(n - 1))

for (unsigned j = 0j<n - 1++j)

minmat[i][j] = src[i + (i >= x)][j + (j >= y)]

}

double value = mat_det(minmat, n - 1) * (x + y &1 ? -1 : 1)

for (unsigned i = 0i<n - 1++i)

free(minmat[i])

free(minmat)

return value

}

/// <summary>

/// 求矩阵的逆矩阵

/// </summary>

/// <param name="src">输入的矩阵</param>

/// <param name="des">输入的矩阵的逆矩阵</param>

/// <param name="n">矩阵的阶数</param>

void mat_inv(double *src [],double *des[],const unsigned n){

double det = mat_det(src, n)//求矩阵的行列式的值

for (unsigned i = 0i <n++i){

for (unsigned j = 0j <n++j)

des[i][j] = mat_minor(src, n, j, i) / det

}

}

int main(){

double input[][3] = { { 8, 4, 9 }, { 2, 3, 5 }, { 7, 6, 1 } }

double output[][3] = { { 0 }, { 0 }, { 0 } }

double *src[3],*des[3]

//矩阵须转换为指针数组形式

for (int i = 0i <3++i){

src[i] = input[i]

des[i] = output[i]

}

mat_inv(src,des,3)

for (int i = 0i <3++i){

for (int j = 0j <3++j)

printf("%lf\t", des[i][j])

printf("\n")

}

return 0

}

#include <stdlib.h>

#include <math.h>

#include <stdio.h>

int brinv(double a[], int n)

{ int *is,*js,i,j,k,l,u,v

double d,p

is=malloc(n*sizeof(int))

js=malloc(n*sizeof(int))

for (k=0k<=n-1k++)

{ d=0.0

for (i=ki<=n-1i++)

for (j=kj<=n-1j++)

{ l=i*n+jp=fabs(a[l])

if (p>d) { d=pis[k]=ijs[k]=j}

}

if (d+1.0==1.0)

{ free(is)free(js)printf("err**not inv\n")

return(0)

}

if (is[k]!=k)

for (j=0j<=n-1j++)

{ u=k*n+jv=is[k]*n+j

p=a[u]a[u]=a[v]a[v]=p

}

if (js[k]!=k)

for (i=0i<=n-1i++)

{ u=i*n+kv=i*n+js[k]

p=a[u]a[u]=a[v]a[v]=p

}

l=k*n+k

a[l]=1.0/a[l]

for (j=0j<=n-1j++)

if (j!=k)

{ u=k*n+ja[u]=a[u]*a[l]}

for (i=0i<=n-1i++)

if (i!=k)

for (j=0j<=n-1j++)

if (j!=k)

{ u=i*n+j

a[u]=a[u]-a[i*n+k]*a[k*n+j]

}

for (i=0i<=n-1i++)

if (i!=k)

{ u=i*n+ka[u]=-a[u]*a[l]}

}

for (k=n-1k>=0k--)

{ if (js[k]!=k)

for (j=0j<=n-1j++)

{ u=k*n+jv=js[k]*n+j

p=a[u]a[u]=a[v]a[v]=p

}

if (is[k]!=k)

for (i=0i<=n-1i++)

{ u=i*n+kv=i*n+is[k]

p=a[u]a[u]=a[v]a[v]=p

}

}

free(is)free(js)

return(1)

}

void brmul(double a[], double b[],int m,int n,int k,double c[])

{ int i,j,l,u

for (i=0i<=m-1i++)

for (j=0j<=k-1j++)

{ u=i*k+jc[u]=0.0

for (l=0l<=n-1l++)

c[u]=c[u]+a[i*n+l]*b[l*k+j]

}

return

}

int main()

{ int i,j

static double a[4][4]={ {0.2368,0.2471,0.2568,1.2671},

{1.1161,0.1254,0.1397,0.1490},

{0.1582,1.1675,0.1768,0.1871},

{0.1968,0.2071,1.2168,0.2271}}

static double b[4][4],c[4][4]

for (i=0i<=3i++)

for (j=0j<=3j++)

b[i][j]=a[i][j]

i=brinv(a,4)

if (i!=0)

{ printf("MAT A IS:\n")

for (i=0i<=3i++)

{ for (j=0j<=3j++)

printf("%13.7e ",b[i][j])

printf("\n")

}

printf("\n")

printf("MAT A- IS:\n")

for (i=0i<=3i++)

{ for (j=0j<=3j++)

printf("%13.7e ",a[i][j])

printf("\n")

}

printf("\n")

printf("MAT AA- IS:\n")

brmul(b,a,4,4,4,c)

for (i=0i<=3i++)

{ for (j=0j<=3j++)

printf("%13.7e ",c[i][j])

printf("\n")

}

}

}

这个行么?不知道是不是你要的,希望对你有用

把最后的printf(" %d",a[i][j])改成printf(" %d",b[i][j]) -----------------------------------------------------------#include<stdio.h>main(){int i,j,a[3][3]={{1,2,3},{4,5,6},{7,8,9}},b[3][3]for(i=0i<=2i++){for(j=0j<=2j++)printf(" %d",a[i][j])printf("\n")}printf("\n")for(i=0i<3i++) {for(j=0j<3j++) </p><p>b[j][i]=a[i][2-j]<br>}for(i=0i<=2i++){for(j=0j<=2j++)</p><p>printf(" %d",b[i][j])</p><p>printf("\n")</p><p>}getchar()}