Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[Trace], instead.

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

The function trace(A) computes the trace of the matrix A. The trace of a matrix A is defined to be the sum of the diagonal elements of A.

The command with(linalg,trace) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{linalg}\right)\:$

$\mathrm{trace}\left(\mathrm{array}\left(\left[\left[1\,2\right]\,\left[1\,4\right]\right]\right)\right)$

$5$

$A≔\mathrm{matrix}\left(3\,3\,\left[a\,b\,c\,d\,e\,f\,g\,h\,i\right]\right)$

$A≔\left[\begin{array}{ccc}a& b& c\\ d& e& f\\ g& h& i\end{array}\right]$

$\mathrm{trace}\left(A\right)$

$a+e+i$