# Manuals/calci/TRACE

MATRIXTRACE (a)

• is any matrix.

## Description

• This function shows the trace value of the given matrix.
• In  ,   is any matirx.
• The trace of an nxn square matrix is defined to be the sum of all main diagonal entries.
• Consider the matrix A with the elements  .
• Here trace of the matrix A is  = .Where   denotes the entry on the   row and   column of A.
• Now consider 3x3 matrix
• Here tr(A)= a+e+j.

## Examples

1. TRACE([3,6,9;12,-67,-98;45,23,98]) = 34
2. TRACE([[10,15,-19,43.2],[78,56,-90,32.9],[1,17,-143,187],[15,18,432,987]]) = 910
3. TRACE([[3,8],[10,12]]) = 15

Trace Matrix