CUET Preparation Today
CUET
-- Mathematics - Section A
Determinants
a
b
c
d
$Δ=\begin{vmatrix}1+a&1&1\\1&1+b&1\\1&1&1+c\end{vmatrix}$
$R_1→R_1-R_2$
$Δ=\begin{vmatrix}a&-b&0\\1&1+b&1\\1&1&1+c\end{vmatrix}$
$Δ=a((1+b+c+bc)-1)+b(1-1+b)$
$=ab+bc+ca+abc$