Page 34 - Operaciones con matrices
P. 34
m
(
tr A m m ) a
=
ii
i= 1
Sea:
a a
A = 11 12
a 21 a 22
La traza es:
( )
tr A = a + 11 a
22
Sea:
a 11 a 12 a 13
A = a 21 a 22 a 23
a a a
31 32 33
La traza es:
( )
tr A = a + a + a
33
22
11
Algunas propiedades de la traza:
(
(
(
1. tr A m n +B m n ) = tr A m n ) + tr B m n ) .
(
tr A
2. tr A m n ) = ( m n ) ; .
(
(
3. tr A m m B m m ) = tr B m m A m m ) .
30