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Skew Symmetric Matrix

If A= [ aii...

Question

If $A = [a_{i i}]$ is a skew-symmetric matrix of order n, then $\sum a_{i i} =$

A

0

for some

i

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B

0

for all

i = 1, 2, . . ., n

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C

1

for some

i

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D

1

for all

i = 1, 2, . . ., n .

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Solution

The correct option is B $0$ for all $i = 1, 2, . . ., n$
By definition of skew-symmetric matrix.
Diagonal elements of a skew-symmetric matrix are all 0.

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