Xin nhận xét về bài lập trình hướng đối tượng trong C++

Thầy giáo ra bài tập lớn lập trình các phép toán trên ma trận theo kiểu lập trình hướng đối tượng, e làm như này không biết đã đúng kiểu lập trình hướng đối tượng chưa ạ? và tối ưu nữa?
Các a cho e xin nhận xét với.
E cảm ơn ạ.

    #include <iomanip>
    #include <complex>
    #include <iostream>
    using namespace std;
    
    class MATRAN
    {
    	private:
    		int soHang=10,soCot=10;
    		float det=0;
    		float **mt=new float*[soHang];
    	public:
    		MATRAN(int m, int n):soHang(m),soCot(n){
    			for(int i=0;i<this->soHang;i++)
    				this->mt[i]=new float[this->soCot];
    			cout<<fixed;
    			cout<<setiosflags(ios::showpoint)<<setprecision(1);
    		}
    		
    		void thaoTac(int tt);
    		void inMaTran();
    		void nhapMaTran();
    		void chuyenVi();
    		bool dinhThuc();
    		float phuHop(int hangXoa, int cotXoa);
    		void nghichDao();
    		int hang();
    		void xoaHang();
    		void xoaCot();
    		void congMaTran();
    		void truMaTran();
    		void nhanMT_So();
    		void nhanMT_MT();
    		
    		~MATRAN(){
    			for(int i=0;i<this->soHang;i++) delete[] this->mt[i];
    			delete[] this->mt;
    			this->soHang=0; this->det=0; this->soCot=0;
    		}
    };
    
    void MATRAN::thaoTac(int tt){
    	if(tt==0){
    		cout<<"
+ Danh sach thao tac:
";
    		cout<<"	Chuyen vi:	1|";
    		cout<<"	Dinh thuc:	2|";
    		cout<<"	Nghich dao:	3|";
    		cout<<"
	Hang:		4|";
    		cout<<"	Xoa hang:	5|";
    		cout<<"	Xoa cot:	6|";
    		cout<<"
	Cong ma tran:	7|";
    		cout<<"	Tru ma tran:	8|";
    		cout<<"
	Ma tran x So:	9|";
    		cout<<"	Ma tran x Ma tran:	10|";
    		cout<<"
	Ket thuc phien lam viec:	0";
    		cout<<"

+ Chon thao tac ma ban muon thuc hien: ";
    		cin>>tt;
    		cout<<endl;
    	}
    	switch(tt){
    		case 1: chuyenVi(); break;
    		case 2: if(this->dinhThuc()) cout<<"	Dinh thuc cua ma tran A la: det(A) = "<<this->det<<endl;
    				else cout<<"	Ma tran khong hop le!
";
    				thaoTac(0); break;
    		case 3: nghichDao(); break;
    		case 4: cout<<"	Hang cua ma tran A la: "<<this->hang()<<endl;
    				thaoTac(0); break;
    		case 5: xoaHang(); break;
    		case 6: xoaCot(); break;
    		case 7: congMaTran(); break;
    		case 8: truMaTran(); break;
    		case 9: nhanMT_So(); break;
    		case 10: nhanMT_MT(); break;
    		default: break; 
    	}
    }
    
    void MATRAN::inMaTran(){
    	for(int i=0;i<this->soHang;i++){
    		cout<<"
	";
    		for(int j=0;j<this->soCot;j++) cout<<setw(5)<<this->mt[i][j]<<" ";
    	}
    	cout<<endl;
    }
    
    void MATRAN::nhapMaTran(){
    	for(int i=0;i<this->soHang;i++)
    		for(int j=0;j<this->soCot;j++){
    			cout<<"	Phan tu ["<<i+1<<","<<j+1<<"] = ";
    			cin>>this->mt[i][j];
    		}
    	cout<<"Ma tran ban vua nhap la:";
    	this->inMaTran();
    }
    
    void MATRAN::chuyenVi(){
    	MATRAN cv(this->soCot,this->soHang);
    	for(int i=0;i<cv.soHang;i++)
    		for(int j=0;j<cv.soCot;j++)
    			cv.mt[i][j]=this->mt[j][i];
    	cout<<"Ma tran chuyen vi cua ma tran A la:";
    	cv.inMaTran();
    	thaoTac(0);
    }
    
    bool MATRAN::dinhThuc(){
    	if(this->soHang==this->soCot){
    		int i=0,d=0;
    		float dt=1.0;
    		//Tao ma tran B lay gia tri cua ma tran A
    		MATRAN b(this->soHang,this->soCot);
    		for(int i=0;i<b.soHang;i++)
    			for(int j=0;j<b.soCot;j++)
    				b.mt[i][j]=this->mt[j][i];
    		//Dua ma tran ve ma tran tam giac tren
    		for(i=0;i<b.soHang-1;i++){
    			if(b.mt[i][i]==0)
    				for(int k=i+1;k<b.soHang;k++){
    					bool c=0;
    					if(b.mt[k][i]!=0){
    						for(int j=0;j<b.soCot;j++){
    							float t=b.mt[i][j];
    							b.mt[i][j]=b.mt[k][j];
    							b.mt[k][j]=t;
    						}
    						d++;
    						c=1;
    						break;
    					}
    					if(c) break;
    				}
    			for(int k=i+1;k<b.soHang;k++){
    				float tl=b.mt[k][i]/b.mt[i][i];
    				for(int j=0;j<soCot;j++)
    					b.mt[k][j]-=b.mt[i][j]*tl;
    			}
    		}
    		//Tinh dinh thuc bang tich cac phan tu tren duong cheo chinh
    		for(i=0;i<b.soCot;i++) dt*=b.mt[i][i];
    		if(dt!=0) dt*=pow(-1,d);
    		this->det=dt;
    		return 1;
    	} else{
    		return 0;
    	}
    }
    
    float MATRAN::phuHop(int hangXoa, int cotXoa){
    	MATRAN ph(this->soHang-1,this->soCot-1);
    	for(int i=0;i<hangXoa;i++){
    		for(int j=0;j<cotXoa;j++)
    			ph.mt[i][j]=this->mt[i][j];
    		for(int j=cotXoa;j<ph.soCot;j++)
    			ph.mt[i][j]=this->mt[i][j+1];
    	}
    	for(int i=hangXoa;i<ph.soHang;i++){
    		for(int j=0;j<cotXoa;j++)
    			ph.mt[i][j]=this->mt[i+1][j];
    		for(int j=cotXoa;j<ph.soCot;j++)
    			ph.mt[i][j]=this->mt[i+1][j+1];
    	}
    	ph.dinhThuc();
    	float pTu=(float) ph.det/this->det;
    	if(pTu!=0)
    		pTu*=pow(-1,hangXoa+cotXoa);
    	return pTu;
    }
    
    void MATRAN::nghichDao(){
    	if(this->dinhThuc()==0 || this->det==0) cout<<"	Ma Tran A khong kha nghich
";
    	else{
    		//Tao ma tran chuyen vi cua ma tran A
    		MATRAN cv(this->soCot,this->soHang);
    		for(int i=0;i<cv.soHang;i++)
    			for(int j=0;j<cv.soCot;j++)
    				cv.mt[i][j]=this->mt[j][i];
    		//Tao ma tran B co cac phan tu la ma tran phu hop cua ma tran chuyen vi
    		MATRAN b(this->soHang,this->soCot);
    		cv.det=this->det;
    		for(int i=0;i<b.soHang;i++)
    			for(int j=0;j<b.soCot;j++)
    				b.mt[i][j]=cv.phuHop(i,j);
    		cout<<"Ma tran nghich dao cua ma tran A la:";
    		b.inMaTran();
    	}
    	thaoTac(0);
    }
    
    int MATRAN::hang(){
    	//Tao ma tran B lay gia tri cua ma tran A
    	MATRAN b(this->soHang,this->soCot);
    	for(int i=0;i<b.soHang;i++)
    		for(int j=0;j<b.soCot;j++)
    			b.mt[i][j]=this->mt[i][j];
    	//Dua ma tran ve ma tran tam giac tren
    	for(int i=0;i<b.soHang-1;i++){
    		for(int j=i;j<b.soCot;j++){
    			if(b.mt[i][j]==0)
    				for(int k=i+1;k<b.soHang;k++)
    					if(b.mt[k][j]!=0)
    						for(int u=0;u<b.soCot;u++){
    							float t=b.mt[i][u];
    							b.mt[i][u]=b.mt[k][u];
    							b.mt[k][u]=t;
    						}
    			if(b.mt[i][j]!=0){
    				for(int k=i+1;k<b.soHang;k++){
    					float tl=b.mt[k][i]/b.mt[i][j];
    					for(int u=0;u<b.soCot;u++)
    						b.mt[k][u]-=b.mt[i][u]*tl;
    				}
    				break;
    			}
    		}
    	}
    	//Tim hang
    	int r=0;
    	for(int i=b.soHang-1;i>=0;i--){
    		for(int j=0;j<b.soCot;j++)
    			if(b.mt[i][j]!=0){
    				r=i+1;
    				break;
    			}
    		if(r>0) break;
    	}
    	return r;
    }
    
    void MATRAN::xoaHang(){
    	int x=0;
    	do{
    		cout<<"Nhap vao hang thu x (0<x<"<<this->soHang+1<<") ban muon xoa: ";
    		cin>>x;
    	} while(x<1 || x>this->soHang);
    	MATRAN b(this->soHang-1,this->soCot);
    	x--;
    	for(int j=0;j<b.soCot;j++){
    		for(int i=0;i<x;i++)
    			b.mt[i][j]=this->mt[i][j];
    		for(int i=x;i<b.soHang;i++)
    			b.mt[i][j]=this->mt[i+1][j];
    	}
    	cout<<"Ma tran A sau khi xoa hang thu "<<x+1<<" la:";
    	b.inMaTran();
    	thaoTac(0);
    }
    
    void MATRAN::xoaCot(){
    	int x=0;
    	do{
    		cout<<"Nhap vao cot thu x (0<x<"<<this->soCot+1<<") ban muon xoa: ";
    		cin>>x;
    	} while(x<1 || x>this->soCot);
    	MATRAN b(this->soHang,this->soCot-1);
    	x--;
    	for(int i=0;i<b.soHang;i++){
    		for(int j=0;j<x;j++)
    			b.mt[i][j]=this->mt[i][j];
    		for(int j=x;j<b.soCot;j++)
    			b.mt[i][j]=this->mt[i][j+1];
    	}
    	cout<<"Ma tran A sau khi xoa cot thu "<<x+1<<" la:";
    	b.inMaTran();
    	thaoTac(0);
    }
    
    void MATRAN::congMaTran(){
    	MATRAN b(this->soHang,this->soCot);
    	cout<<"Nhap ma tran B:
";
    	b.nhapMaTran();
    	for(int i=0;i<b.soHang;i++)
    		for(int j=0;j<b.soCot;j++){
    			b.mt[i][j]+=this->mt[i][j];
    		}
    	cout<<"Tong cua 2 ma tran A va B la:";
    	b.inMaTran();
    	thaoTac(0);
    }
    
    void MATRAN::truMaTran(){
    	MATRAN b(this->soHang,this->soCot);
    	cout<<"Nhap ma tran B:
";
    	b.nhapMaTran();
    	for(int i=0;i<b.soHang;i++)
    		for(int j=0;j<b.soCot;j++){
    			b.mt[i][j]=this->mt[i][j]-b.mt[i][j];
    		}
    	cout<<"Hieu cua 2 ma tran A va B la:";
    	b.inMaTran();
    	thaoTac(0);
    }
    
    void MATRAN::nhanMT_So(){
    	float x=1;
    	MATRAN b(this->soHang,this->soCot);
    	cout<<"Nhap vao so x: ";
    	cin>>x;
    	for(int i=0;i<b.soHang;i++)
    		for(int j=0;j<b.soCot;j++)
    			b.mt[i][j]=x*this->mt[i][j];
    	cout<<"Tich cua "<<x<<" voi ma tran A la:";
    	b.inMaTran();
    	thaoTac(0);
    }
    
    void MATRAN::nhanMT_MT(){
    	int cotB=10;
    	cout<<"Nhap so cot cua ma tran B: ";
    	cin>>cotB;
    	MATRAN b(this->soCot,cotB);
    	cout<<"
Nhap ma tran B:
";
    	b.nhapMaTran();
    	MATRAN c(this->soHang,b.soCot);
    	for(int i=0;i<c.soHang;i++)
    		for(int j=0;j<c.soCot;j++){
    			c.mt[i][j]=0;
    			for(int k=0;k<this->soCot;k++)
    				c.mt[i][j]+=this->mt[i][k]*b.mt[k][j];
    		}
    	cout<<"Tich cua ma tran A va ma tran B la:";
    	c.inMaTran();
    	thaoTac(0);
    }
    
    int main(){
    	int m,n;
    	cout<<"Nhap so hang cua ma tran A: ";
    	cin>>m;
    	cout<<"Nhap so cot cua ma tran A: ";
    	cin>>n;
    	MATRAN a(m,n);
    	cout<<"
Nhap ma tran A:
";
    	a.nhapMaTran();
    	a.thaoTac(0);
    	return 0;
    }