First slide

Introduction to Determinants

Question

The value of _{$| \begin{matrix} 5^{2} & 5^{3} & 5^{4} \\ 5^{3} & 5^{4} & 5^{5} \\ 5^{4} & 5^{5} & 5^{7} \end{matrix} |$} is

Easy

A

_$5^{2}$
B

0
C

_$5^{13}$
D

_$5^{9}$

Solution

Taking out 5 from R₂ makes R₂ = R₁.
_$∴$ The value of determinant is equal to zero.

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