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

Further Examples: Tr

Here is a matrix.

In[1]:=

Out[1]//MatrixForm=

This gives its trace.

In[2]:=

Out[2]=

This gives a generalized trace of the same matrix.

In[3]:=

Out[3]=

This generalized trace gives the diagonal elements.

In[4]:=

Out[4]=

This gives another generalized trace.

In[5]:=

In[6]:=

Out[6]=

The trace of a matrix is equal to the sum of its eigenvalues.

In[7]:=

Out[7]=

Here is a tensor.

In[8]:=

Out[8]//MatrixForm=

Here are its dimensions.

In[9]:=

Out[9]=

This gives the trace.

In[10]:=

Out[10]=

This gives a generalized trace.

In[11]:=

Out[11]=

This gives a generalized trace down to level .

In[12]:=

Out[12]=

In[13]:=



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