The value of the determinant $\left|\begin{array}{lll}89 & 90 & 91 \\ 90 & 91 & 92 \\ 91 & 92 & 93\end{array}\right|$ is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 0
$\left|\begin{array}{lll}89 & 90 & 91 \\ 90 & 91 & 92 \\ 91 & 92 & 93\end{array}\right|$
$R_3→R_3-R_2$
$R_2→R_2-R_1$
$\left|\begin{array}{lll}89 & 90 & 91\\ 1& 1& 1\\ 1 & 1& 1\end{array}\right|$
$C_3→C_3-C_2$
$C_2→C_2-C_1$
$\left|\begin{array}{lll}89 & 1 & 1\\ 1& 0& 0\\ 1 & 0& 0\end{array}\right|=0$