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in Determinants by (26.9k points)
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Mark the correct alternative in the following :

The value of \(\begin{vmatrix} 5^2 & 5^3& 5^4 \\[0.3em] 5^3 & 5^4 &5^5\\[0.3em] 5^4 & 5^5 &5^6 \end{vmatrix}\) is

A. 52 

B. 0 

C. 513 

D. 59

1 Answer

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by (27.3k points)
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Best answer

Correct answer is B.

Δ =\(\begin{vmatrix} 5^2 & 5^3& 5^4 \\[0.3em] 5^3 & 5^4 &5^5\\[0.3em] 5^4 & 5^5 &5^6 \end{vmatrix}\)

Δ = \(5^9\begin{vmatrix} 1 & 5& 5^2 \\[0.3em] 1 & 5 &5^2\\[0.3em] 1 & 5 &5^2 \end{vmatrix}\)

Δ = \(5^95^3\begin{vmatrix} 1 & 1& 1 \\[0.3em] 1 & 1 &1\\[0.3em] 1 & 1 &1 \end{vmatrix}\)

∆ = 0

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