Question

Are the principal diagonal elements of a skew-symmetric matrix are always zero?

Answer 1

no

Answer 2

principle diagonal may have any values

Answer 3

but i have a book which says that in particular if {i=j} then,
{aii}={-aii}=>{2aii}=0=>{aii}=o

Answer 4

no this is not right :)

Answer 5

k! but what does it mean {i=j}

Answer 6

ya as the matrix must be square

Answer 7

k! thanx

Answer 8

u r welcome

Answer 9

Yes, it's always zero. Your book is right.

Answer 10

no it will be zeros only in case of zero matrix

Answer 11

It will be Zero for any skew symmetric matrix.

Answer 12

you are right I am sorry

Answer 13

@maheshmeghwal9