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Trace

, the sum of the diagonal entries of a square matrix.

Definition 3.20 (Trace)

Consider any matrix , the trace is defined by

i.e. the sum of the diagonal entries.

Properties of the trace

Proposition 3.21 (Properties of the Trace)

for the identity matrix of size .

Related

Symmetric and antisymmetric matrices

Stated in

Definition 3.20 (Trace)§3.4.5 Trace
Proposition 3.21 (Properties of the Trace)§3.4.5 Trace