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Question: The value of the determinant given below \(\left| \ \begin{matrix} 1 & 2 & 3 \\ 3 & 5 & 7 \\ 8 & 14 ...

The value of the determinant given below ∣ 12335781420∣\left| \ \begin{matrix} 1 & 2 & 3 \\ 3 & 5 & 7 \\ 8 & 14 & 20 \end{matrix} \right| is.

A

20

B

10

C

0

D

5

Answer

0

Explanation

Solution

Δ=1[100−98]+2[56−60]+3[42−40]\Delta = 1\lbrack 100 - 98\rbrack + 2\lbrack 56 - 60\rbrack + 3\lbrack 42 - 40\rbrack

Δ=2−8+6=0\Delta = 2 - 8 + 6 = 0.