The trace of the matrix

Question:

The trace of the matrix $A=\left[\begin{array}{rrr}1 & -5 & 7 \\ 0 & 7 & 9 \\ 11 & 8 & 9\end{array}\right]$ is

(a) 17

(b) 25

(c) 3

(d) 12

Solution:

(a) 17

The trace of a matrix is the sum of the diagonal elements.

$\therefore \operatorname{Tr}(A)=1+7+9=17$

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