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Question

Question: \(\left| \begin{matrix} 109 & 102 & 95 \\ 6 & 13 & 20 \\ 1 & - 6 & - 13 \end{matrix} \right|\)is equ...

10910295613201613\left| \begin{matrix} 109 & 102 & 95 \\ 6 & 13 & 20 \\ 1 & - 6 & - 13 \end{matrix} \right|is equal to

A

Constant other than zero

B

Zero

C

100

D

-1997

Answer

Zero

Explanation

Solution

Since elements of the rows are in A.P. with common

difference 7, given determinant is zero