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# MATLAB license passcode file for use with FLEXlm.
# LicenseNo: 161051 HostID: ANY
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【MATLAB矩阵基本操作】
1、矩阵求逆:inv(a),矩阵左右翻转:fliplr(a),矩阵上下翻转:flipud(a),反转90度,k参数定义为逆时针旋转90*k度:rot90(a,k),矩阵对应维数数值翻转,k=1时，行(上下)翻转，k=2时，列(左右)翻转:flipdim(a,k)
2、矩阵的下三角部分（包括对角线元素):tril(a,k),矩阵的上三角部分（包括对角线元素）:tril(a,k),k参数设置为正负数值对应对角线向上或向下移动k行划分上三角元素。
3、diag(a,k)生成对角矩阵或取出对角元素，对应k=0时的取值数。k参数设置为正负数值对应对角线向上或向下移动k行取对角元素或生成对角矩阵。
4、repmat(a,m,n)矩阵复制,把矩阵a作为一个单位计算，复制成m*n的矩阵，其每一元素都含一个矩阵a,实际结果为一个size(a,1)*m行，size(a,2)*n列的矩阵。
5、eye(a,k)生成a阶单位方阵，k参数设置为生成a×k阶单位矩阵,即生成a阶单位方阵后，取前k列,不足补0。
6、cat(k,a,b) 矩阵合并，k=1,合并后形如[a;b],行添加矩阵（要求a,b的列数相等才能合并）；k=2,合并后形如[a,b],列添加矩阵（要求a,b的行数相等才能合并,以此类推,n维的矩阵合并，要求n-1维维数相等才可以）。
7、矩阵中每个元素都加上-5到5之间的随机数，程序如下：A0=magic(4);A=A0;A=A+(rand(size(A))*2-1)*5;
8、矩阵中大于1的元素赋值为-30，总共两种方法，程序如下：A0=rand(4,4)*2;A=A0;A(A>1)=-30;B=A0;B(find(B>1))=-30;
9、A=ones(4,4);B=zeros(3,3);A(2:4,2:4)=B(:,:);%将B矩阵插入A矩阵右下角。
10、[xx,yy]=meshgrid(-3:3,-3:3);f=@(x,y)x^2+y^2;arrayfun(f,xx,yy)
11、a = randn(3,1);b =randn(1,3);c=bsxfun(@plus,a,b)%相当于c=repmat(a,1,3)+repmat(b,3,1)
12、C={1:100, [2;4;10], []}; Averages =cellfun(@mean,C)%Compute the mean of each vector in cell arrayC.类似的还有structfun（针对于结构体）、spfun（针对于稀疏矩阵），均可以大幅度提高运算速度
13、转置但不共轭：a=rand(3,3);b = a.';得到列向量:a=rand(3,3);b =a(:);得到行向量:a=rand(3,3);b =a(:).';去除长度为1的维度：a(1,1:4,1:4)=rand(4,4);b = squeeze(a);
14、a=[1 1 3 1/0 5/0];a(isinf(a))=0;%将矩阵中的inf元素替换成0，类似的对于NAN元素，使用isnan函数
15、a=[1 2 3;4 5 6;7 89];a(and(a>3,a<8))=a(and(a>3,a<8))+30;%把矩阵中元素值大于3小于8的元素在原值基础上再加上30
