Solveeit Logo

Question

Mathematics Question on Determinants

If A=[157 079 1189]A = \begin{bmatrix}1&-5&7\\\ 0&7&9\\\ 11&8&9\end{bmatrix}, then trace of matrix AA is

A

17

B

25

C

3

D

12

Answer

17

Explanation

Solution

The correct answer is A:17
Given;
\therefore If A=[157 079 1189]A = \begin{bmatrix}1&-5&7\\\ 0&7&9\\\ 11&8&9\end{bmatrix},then
New trace of A=sum of diagonal elements of A
(A)=1+7+9=17(A) = 1 + 7 + 9 = 17
trace of matrix