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Documentation / Mathematica / Built-in Functions / Lists and Matrices / Matrix Operations /

Further Examples: Minors

Here is a matrix.

In[1]:=

The matrix of all the minors of M is not the same as the matrix of all minors of M.

In[2]:=

Out[2]=

In[3]:=

Out[3]=

Here is the (, ) entry in the matrix of its minors.

In[4]:=

Out[4]=

Here is the (, ) entry in the matrix of its minors.

In[5]:=

Out[5]=

Here Tr is applied to each of the submatrices picked out.

In[6]:=

Out[6]=

Here the cofactors of a matrix are defined in terms of its minors.

In[7]:=

In[8]:=

In[9]:=

m4 is a matrix.

In[10]:=

Out[10]//MatrixForm=

co is the matrix of cofactors of m4.

In[11]:=

Out[11]//MatrixForm=

mi is the matrix of the minors of m4.

In[12]:=

Out[12]//MatrixForm=

Laplace's expansion says .

In[13]:=

Out[13]//MatrixForm=

In[14]:=



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