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Inverse

Usage

Inverse[m]给出一个方阵 m的逆。


Notes

Inverse用在符号和数值矩阵。 • 对一个近似实数或复数矩阵,给定输入,产生的逆矩阵有最大可能的精度。
Inverse[m, Modulus->n] 计算模 n的逆。
Inverse[m, ZeroTest -> test] 计算 test[ m[[i, j]] ] 确定矩阵元素是否为零。缺省设置是 ZeroTest -> (# Equal 0 &).
• 也能给出Method 选项。可能的设置是关于LinearSolve的.
• 参见 Mathematica 全书: 1.8.3 and 节 3.7.6.
• 实现注释: 参见节 A.9.4 and A.9.4.
Further Examples

The inverse of a 2 x 2 matrix displayed as a matrix.

In[1]:=  

Out[1]//MatrixForm=

If the matrix is singular, the inverse is not computed.

In[2]:=  

Out[2]=

If the matrix is not square, the inverse is not computed.

In[3]:=  

Out[3]=

You can compute inverse of inexact matrices.

In[4]:=  

Out[4]//MatrixForm=

Here is the inverse over the integers modulo 5.

In[5]:=  

Out[5]//MatrixForm=

This checks the result.

In[6]:=  

Out[6]//MatrixForm=



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