Delta=left|begin{array}{lll}3 & 2 & 3 2 & 2 & 3 3 & 2 & 3end{array}right| ?

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3 and 4 .Determinants and Matrices

easy

$\Delta=\left|\begin{array}{lll}3 & 2 & 3 \\ 2 & 2 & 3 \\ 3 & 2 & 3\end{array}\right|$ નું મૂલ્ય શોધો. ( ${R_1} = {R_3}$ છે. )

Option A

Option B

Option C

Option D

Solution

Solution Expanding along first row, we get

$\begin{aligned}
\Delta &=3(6-6)-2(6-9)+3(4-6) \\
&=0-2(-3)+3(-2)=6-6=0
\end{aligned}$

Here $R_{1}$ and $R_{3}$ are identical.

Standard 12

Mathematics

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