Question

If Δ = ${\displaystyle \left|\begin{array}{ccc}1& 2& 3\\ 2& -1& 0\\ 3& 4& 5\end{array}\right|}$, then ${\displaystyle \left|\begin{array}{ccc}1& 6& 3\\ 4& -6& 0\\ 3& 12& 5\end{array}\right|}$ is

विकल्प

• 2Δ

• 3Δ

• 6Δ

• 0

Answer 1

6Δ

Explanation:

${\displaystyle \left|\begin{array}{ccc}1& 6& 3\\ 4& -6& 0\\ 3& 12& 5\end{array}\right|=3\left|\begin{array}{ccc}1& 2& 3\\ 4& -2& 0\\ 3& 4& 5\end{array}\right|}$ = 3.2

${\displaystyle \left|\begin{array}{ccc}1& 2& 3\\ 2& -1& 0\\ 3& 4& 5\end{array}\right|}$ = 6Δ