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Q. 264.5( 4 Votes )

If A is a skew-sy

Answer :

Let A is a skew – symmetric matrix, then

AT = - A …(i)


Consider


(An)T = λAn [given]


(AT)n = λAn


(-A)n = λAn [from (i)]


(-1)n(A)n = λAn


Comparing both the sides, we get


λ = (-1)n


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