要求完成课堂上讲的关于矩阵分解的LU、QR（Gram-Schmidt）、Orthogonal Reduction (Householder reduction 和Givens reduction)程序实现，要求如下：

1、一个综合程序，根据选择参数的不同，实现不同的矩阵分解；

2、可以用matlab等编写程序，需附上简单的程序说明，比如参数代表什么意思，输入什么，输出什么等等；

3、一定是可执行文件，不能是word或者txt文档。附上源代码，不能为直接调用matlab等函数库；-Required to complete the classroom in terms of LU decomposition on matrix, QR (Gram-Schmidt), Orthogonal Reduction (Householder reduction and Givens reduction) program implementation requirements are as follows: 1, a comprehensive program, depending on the selection of parameters to achieve different matrices decomposition　2, you can use matlab programming, etc., must be attached on a simple descr iption of the procedures, such as what does it mean parameters, input, what output and the like　3, must be an executable file, not a word or txt document. Attach the source code, it can not directly call matlab function library, etc