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 \[\left| \,\begin{matrix} {{5}^{2}} & {{5}^{3}} & {{5}^{4}} \\ {{5}^{3}} & {{5}^{4}} & {{5}^{5}} \\ {{5}^{4}} & {{5}^{5}} & {{5}^{7}} \\ \end{matrix}\, \right|\]is
A)\[{{5}^{2}}\]
B)0
C)\[{{5}^{13}}\]
D)\[{{5}^{9}}\]
Correct Answer:
B
Solution :
Taking out 5 from \[{{R}_{2}}\] makes\[{{R}_{2}}={{R}_{1}}\].