Question

If two square matrices $A$ and $B$ are of same order and, $Tr\left(A\right)=3,Tr\left(B\right)=5$ then $Tr(A+B)=$

• A. $15$
• B. $8$
• C. $3/5$
• D. Cannot be determined

Answer 1

The correct option is B $8$

We have for two square matrices $A,B$ of same order

$Tr(A+B)=Tr\left(A\right)+Tr\left(B\right)$.

Now given $Tr\left(A\right)=3$ and $Tr\left(B\right)=5$,

then $Tr(A+B)=3+5=8$.