//?Array.cpp?:?Defines?the?entry?point?for?the?console?application.
//說明：該程序實現了矩陣a和b相乘、矩陣轉置、求矩陣逆矩陣???By?YeHanhan

#include?“stdafx.h“
#include?

const?int?M?=?3;		//數組維數根據實際需要定
const?int?N?=?5;
const?int?K?=?4;

void?Array_Multipy（int?a[][N]?int?b[][K]?int?ab_multipy[][K]）;
void?Array_Transpose（int?a[][N]?int?a_transpose[][M]）;
void?Array_Inverse（int?c[][M]?int?c_inverse[][M]）;


int?main（int?argc?char*?argv[]）
{
	//1、兩矩陣?a（M*N）?和?b（N*K）?相乘?前提條件是a的列數必須和b的行數一致；c的第i行第j列元素等于a的第i行元素與b的第j列元素對應乘積之和
	int?a[M][N]?=?{654103??23154??75161};
	int?b[N][K]?=?{1539??10574??3456??8926??5496};
	int?ab_multipy[M][K]?=?{0};
	Array_Multipy（abab_multipy）;

	cout<<“a與b矩陣的乘積ab_multipy為：“<	for?（int?i=0;?i	{
		for?（int?j=0;?j		{
			cout<		}
		cout<	}
	cout<
	//2、a矩陣轉置
	int?a_transpose[N][M];
	Array_Transpose（aa_transpose）;

	cout<<“a矩陣的轉置矩陣a_transpose為：“<	for?（i=0;?i	{
		for?（int?j=0;?j		{
			cout<		}
		cout<	}
	cout<
	//3、求c矩陣逆矩陣
	int?c[M][M]?=?{251??425??679};
	int?c_inverse[M][M]?=?{0};
	Array_Inverse（cc_inverse）;

	cout<<“c矩陣的逆矩陣c_inverse為：“<	for?（i=0;?i	{
		for?（int?j=0;?j		{
			cout<		}
		cout<	}
	cout<	
	return?0;
}

//兩矩陣相乘
void?Array_Multipy（int?a[][N]?int?b[][K]?int?ab_multipy[][K]）
{
	int?ijt;
	int?temp?=?0;
	int?a1?=?M?a2?=?N?b2?=?K;			//數組維數
	
	for（i?=?0;?i?	{
		for（j?=?0;?j?		{
			temp?=?0;???
			for（t?=?0;?t?			{???
				temp?+=?a[i][t]?*?b[t][j];???
			}???
			ab_multipy[i][j]?=?temp;???
		}???
	}?
}

//矩陣轉置
void?Array_Transpose（int?a[][N]?int?a_transpose[][M]）
{
	int?ij;
	for?（i?=?0;?i?	{
		for?（j?=?0;?j?		{
			a_transpose[i][j]?=?a[j][i];
		}
	}
}


int?js（int?c[][M]?int?n）;
void?n_1（int?c[][M]int?c_inverse[][M]int?n）;
//求矩陣的逆矩陣
void?Array_Inverse（int?c[][M]?int?c_inverse[][M]）
{
	int?zj;?
	int?r?temp;?
	
	r=js（cM）;?????????????????????/*調用js（）函數計算原矩陣的行列式值*/?
//	printf（“\n原矩陣行列式值為:|C|==%d\n“r）;????
	
	if?（r==0）?
		printf（“因為|C|==0，則原矩陣無逆矩陣!“）;??/*判斷條件:若|A|==0，則原矩陣無逆矩陣，反之則存在逆矩陣*/?
	else
	{
		n_1（cc_inverseM）;???????????????????????????????????????/*調用n_1（）函數，得到原矩陣各元素對應的“余子式“存放在數組b[N][N]中*/?
		for（z=0;z		{
			for（j=0;j			{
				if（（z+j）%2!=0?&&?c_inverse[z][j]!=0）?
					c_inverse[z][j]=-c_inverse[z][j];?
			}				
		}?
	}
	for（z=0;z	{
		for（j=z+2;j		{
			temp=c_inverse[z][j];?
			c_inverse[z][j]=c_inverse[j][z];?
			c_inverse[j][z]=temp;?
		}
	}	
	
//?	printf（“因為|C|!==0，則原矩陣存在逆矩陣!\n“）;?
//?

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----

?????文件??????53760??2011-04-14?22:07??Array\Array.opt

?????文件???????5080??2011-04-14?22:07??Array\Array.cpp

?????文件????????769??2011-04-14?20:12??Array\StdAfx.h

?????文件????????292??2011-04-14?20:12??Array\StdAfx.cpp

?????文件???????1202??2011-04-14?20:12??Array\ReadMe.txt

?????文件???????4524??2011-04-14?20:12??Array\Array.dsp

?????文件????????535??2011-04-14?20:12??Array\Array.dsw

?????文件??????50176??2011-04-14?22:07??Array\Array.ncb

?????文件??????50176??2011-04-14?22:05??Array\Debug\vc60.idb

?????文件?????213872??2011-04-14?20:12??Array\Debug\Array.pch

?????文件??????69632??2011-04-14?22:05??Array\Debug\vc60.pdb

?????文件???????2191??2011-04-14?20:12??Array\Debug\StdAfx.obj

?????文件?????208979??2011-04-14?22:05??Array\Debug\Array.exe

?????文件?????525312??2011-04-14?22:05??Array\Debug\Array.pdb

?????文件?????237232??2011-04-14?22:05??Array\Debug\Array.ilk

?????文件??????13166??2011-04-14?22:05??Array\Debug\Array.obj

?????文件???????1348??2011-04-14?22:05??Array\Array.plg

?????目錄??????????0??2011-04-14?20:12??Array\Debug

?????目錄??????????0??2011-04-14?20:12??Array

-----------?---------??----------?-----??----

??????????????1438246????????????????????19