JEE Main & Advanced
Mathematics
Determinants & Matrices
Question Bank
Expansion of determinants, Solution of equation in the form of determinants and properties of determinants
question_answer
The value of the determinant \[\left| \,\begin{matrix} -1 & 1 & 1 \\ 1 & -1 & 1 \\ 1 & 1 & -1 \\ \end{matrix}\, \right|\]is equal to [Roorkee 1992]
A)- 4
B)0
C)1
D)4
Correct Answer:
D
Solution :
Apply \[{{R}_{1}}\to {{R}_{1}}+{{R}_{2}}\] and then expand along\[{{R}_{1}}\].