基于MATLAB的简易矩阵计算器

MATLAB程序设计程序设计报告设计题目：简易矩阵计算器班 级：021231姓 名：余颖智学 号：02123021目录1. 设计目标2. 设计内容3. 设计思想4. 设计说明5. 设计步骤及程序代码6. 运行计算器7. 总结1. 设计目标1.熟悉MATLAB的主要控件使用方法。2.熟悉MATLAB的GUI设计流程。2.设计内容设计一个简易的矩阵计算器，通过对简单应用矩阵计算器的设计，编制、调试实现矩阵相加减，矩阵的转置等简单运算，以学习应用MATLAB编写程序原理，加深对MATLAB的学习及应用。3.设计思想基于MATLAB中GUI界面的设计，通过创建类成员函数成员变量，编辑控件创建消息映射，调用信息函数完成数据的输入输出，实现计算功能。生成简单的应用软件。4.设计说明1) 包含的功能有：加、减、乘、转置等。2) 输入的原始数据分别为A或B矩阵，分别显示在不同标签中，运算的结果则显示在输出部分。3) 计算功能基本上是用系统内部函数。4) 程序能够自动判断输入数据的正确性，如不能输入（1）。5.设计步骤及只要代码1) 打开MATLAB，点击，出现GUI的2) 设计计算器版面直至3) 对功能键进行设计执行A矩阵加B矩阵，其执行代码如下A = eval(get(handles.Matrix_A,String);B = eval(get(handles.Matrix_B,String);iA jA=size(A);iB jB=size(B);if iA = iB | jA = jB |(iA = iB & jA = jB) R=error.Matrix dimensions must agree.; set(handles.Answer,string,R) guidata(hObject, handles);else result=A + B ; R =num2str(result); set(handles.Answer,string,R) guidata(hObject, handles);end执行A矩阵减B矩阵，其执行代码如下A = eval(get(handles.Matrix_A,String);B = eval(get(handles.Matrix_B,String);iA jA=size(A);iB jB=size(B);if iA = iB | jA = jB |(iA = iB & jA = jB) R=error.Matrix dimensions must agree.; set(handles.Answer,String,R) guidata(hObject, handles);else result = A - B ; R = num2str(result); set(handles.Answer,String,R) guidata(hObject, handles);end执行A矩阵与B矩阵相乘，其执行代码如下A = eval(get(handles.Matrix_A,String);B = eval(get(handles.Matrix_B,String);iA jA=size(A);iB jB=size(B);if jA=iBR=error.Inner matrix dimensions must agree.;set(handles.Answer,String,R)guidata(hObject, handles);elseresult = A * B ;R = num2str(result);set(handles.Answer,String,R)guidata(hObject, handles);end执行A右除B矩阵，其执行代码如下A = eval(get(handles.Matrix_A,String);B = eval(get(handles.Matrix_B,String);iA jA=size(A);iB jB=size(B);if iA=iB 、 R=error.Matrix dimensions must agree.; set(handles.Answer,String,R) guidata(hObject, handles);else result = A B ; R = num2str(result); set(handles.Answer,String,R) guidata(hObject, handles);end执行A.*B，其执行代码如下A = eval(get(handles.Matrix_A,String);B = eval(get(handles.Matrix_B,String);result = A .* B ;R = num2str(result);set(handles.Answer,String,R)guidata(hObject, handles);执行A./B，其执行代码如下A = eval(get(handles.Matrix_A,String);B = eval(get(handles.Matrix_B,String);result = A ./ B ;R = num2str(result);set(handles.Answer,String,R)guidata(hObject, handles);执行A的转置，其执行代码如下A = eval(get(handles.Matrix_A,String);result = A ;R = num2str(result);set(handles.Answer,String,R)guidata(hObject, handles); 执行A右除B，其执行代码如下A = eval(get(handles.Matrix_A,String);B = eval(get(handles.Matrix_B,String);iA jA=size(A);iB jB=size(B);if iA=iB R=error.Matrix dimensions must agree.; set(handles.Answer,String,R) guidata(hObject, handles);else result = A / B ; R = num2str(result); set(handles.Answer,String,R) guidata(hObject, handles);end执行求A的行列式，其执行代码如下A = eval(get(handles.Matrix_A,String);iA jA=size(A);if iA =jA R=error.Matrix must be square.; set(handles.Answer,String,R) guidata(hObject, handles);else result = det(A) ; R = num2str(result); set(handles.Answer,String,R) guidata(hObject, handles);end 执行求A的逆，其执行代码如下A = eval(get(handles.Matrix_A,String);iA jA=size(A);if iA =jA R=error.Matrix must be square.; set(handles.Answer,String,R) guidata(hObject, handles);else if det(A) = 0 R=error.Matrix is singular to working precision.; set(handles.Answer,String,R) guidata(hObject, handles); else result = inv(A) ; R = num2str(result); set(handles.Answer,String,R) guidata(hObject, handles); endend执行求A的非共轭转置，其执行代码如下A = eval(get(handles.Matrix_A,String);result = A. ;R = num2str(result);set(handles.Answer,String,R)guidata(hObject, handles); 执行求解系数阵为方阵且非奇异的线性方程组，其执行代码如下A = eval(get(handles.Matrix_A,String);B = eval(get(handles.Matrix_B,String);iA jA=size(A);iB jB=size(B);if iA = iB R=error.; set(handles.Answer,String,R) guidata(hObject, handles);else if iA =jA R=error.Matrix must be square.; set(handles.Answer,String,R) guidata(hObject, handles); else if det(A) = 0 R=error.Matrix is singular to working precision.; set(handles.Answer,String,R) guidata(hObject, handles); else result = AB ; R = num2str(result); set(handles.Answer,String,R) guidata(hObject, handles); end endend 执行求A的秩，其执行代码如下 A = eval(get(handles.Matrix_A,String);result = rank(A) ;R = num2str(result);set(handles.Answer,String,R)guidata(hObject, handles); 执行求A的平方，其执行代码如下A = eval(get(handles.Matrix_A,String);iA jA=size(A);if iA =jA R=error.Inputs must be a scalar and a square matrix.; set(handles.Answer,String,R) guidata(hObject, handles);elseresult = A2 ; R = num2str(result); set(handles.Answer,String,R) guidata(hObject, handles);end 执行求A的立方，其执行代码如下A = eval(get(handles.Matrix_A,String);iA jA=size(A);if iA =jA R=error.Inputs must be a scalar and a square matrix.; set(handles.Answer,String,R) guidata(hObject, handles); else result = A3 ; R = num2str(result); set(handles.Answer,String,R) guidata(hObject, handles);end 执行求A的特征值，其执行代码如下A = eval(get(handles.Matrix_A,String);iA jA=size(A);if iA =jA R=error.Matrix must be square.; set(handles.Answer,String,R) guidata(hObject, handles);else result = eig(A) ; R = num2str(result); set(handles.Answer,String,R) guidata(hObject, handles);end 执行求A开平方根，其执行代码如下A = eval(get(handles.Matrix_A,String);result = sqrt(A);R = num2str(result);set(handles.Answer,String,R) 执行计算矩阵范围（默认为2范数），其执行代码如下A = eval(get(handles.Matrix_A,String);result = norm(A);R = num2str(result);set(handles.Answer,String,R)guidata(hObject, handles); 执行对A的分解，其执行代码如下A = eval(get(handles.Matrix_A,String);L U = lu(A);result = L;U;R = num2str(result);set(handles.Answer,String,R)guidata(hObject, handles); 执行将矩阵A化为最简阶梯矩阵，其执行代码如下A = eval(get(handles.Matrix_A,String);result = rref(A);R = num2str(result);set(handles.Answer,String,R)guidata(hObject, handles); 4）对输出进行设计 输出框内有新添加的，使经过计算后的式子通过输出框显示。6.运行计算器 A+BA-BA*BA/LBA.*BA./BAA/Rdet(A)inv(A)A.Ax=BR