Matrix Trace Example-2

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Home > Matrix & Vector calculators > Trace of a matrix example

12. Matrix Trace example ( Enter your problem )

( Enter your problem )

Definition and Examples
Example-2

Other related methods

1. Definition and Examples
(Previous example)

2. Example-2

1. Find Trace(A) $Trace(A)$ ...
A=[123456789] $A=[[1,2,3],[4,5,6],[7,8,9]]$

Solution:

trace(A) $trace(A)$

trace $trace$

1 $1$	2 $2$	3 $3$
4 $4$	5 $5$	6 $6$
7 $7$	8 $8$	9 $9$

=1+5+9 $=1+5+9$

=15 $=15$

2. Find Trace(A) $Trace(A)$ ...
A=[1112-1-11-11] $A=[[1,1,1],[2,-1,-1],[1,-1,1]]$

Solution:

trace(A) $trace(A)$

trace $trace$

1 $1$	1 $1$	1 $1$
2 $2$	-1 $-1$	-1 $-1$
1 $1$	-1 $-1$	1 $1$

=1+(-1)+1 $=1+(-1)+1$

=1 $=1$

This material is intended as a summary. Use your textbook for detail explanation.
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