Definition:Trace (Linear Algebra)/Matrix

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Definition

Let $A = \sqbrk a_n$ be a square matrix of order $n$.


The trace of $A$ is:

$\displaystyle \map \tr A = \sum_{i \mathop = 1}^n a_{ii}$


Using Summation Convention

The trace of $A$, using the summation convention, is:

$\map \tr A = a_{ii}$


Also see

  • Results about traces of matrices can be found here.


Sources