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Question

Mathematics Question on Matrices

If Δ=1aa2 1bb2 1cc2\Delta=\begin{vmatrix} 1 & a & a^2 \\\ 1 & b & b^2 \\\ 1 & c & c^2 \end{vmatrix} and Δ1=111 bccaab abc\Delta_1=\begin{vmatrix} 1 & 1 & 1 \\\ bc & ca & ab \\\ a & b & c \end{vmatrix} then

A

Δ1 ≠ Δ

B

Δ1 = Δ

C

Δ1 = -Δ

D

Δ1 = 3Δ

Answer

Δ1 = -Δ

Explanation

Solution

The correct answer is (C) : Δ1 = -Δ.