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The square matrix `A=[a_(ij)" given by "a_(ij)=(i-j)^3`, is a

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The square matrix `A=[a_(ij)" given by "a_(ij)=(i-j)^3`, is a
A. symmetric matrix
B. skew-symmetric matrix
C. diagonal matrix
D. hermitian matrix
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1 Answer

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Best answer
Correct Answer - B
We have,
`a_(ij)=(i-j)^3rArra_(ij)=(j-i)^3=-(i-j)^3=-a_(ij)" for all "i,j`
`:.` A is a skew-symmetric matrix.
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