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Question: If A is a n rowed square matrix, A = [a_{ij}] where a_{ij}= \(\left\lbrack \frac{i}{j} \right\rbrack...

If A is a n rowed square matrix, A = [a_{ij}] where a_{ij}= [ij]\left\lbrack \frac{i}{j} \right\rbrack, then det (1) =

A

0

B

n!

C

1

D

None of these

Answer

1

Explanation

Solution

aij = [ij]\left\lbrack \frac{i}{j} \right\rbrack= 0 if I < j aii = 1

\ |A| = 1