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3 and 4 .Determinants and Matrices
easy
The value of $\left| {\,\begin{array}{*{20}{c}}{{5^2}}&{{5^3}}&{{5^4}}\\{{5^3}}&{{5^4}}&{{5^5}}\\{{5^4}}&{{5^5}}&{{5^7}}\end{array}\,} \right|$ is
A
${5^2}$
B
$0$
C
${5^{13}}$
D
${5^9}$
Solution
(b) Taking out $5$ from ${R_2}$ makes ${R_2} = {R_1}$.
Standard 12
Mathematics