1.

If `A_1, A_2, , A_(2n-1)a r en`skew-symmetric matrices of same order, then `B=sum_(r=1)^n(2r-1)(A^(2r-1))^(2r-1)`will besymmetricskew-symmetricneither symmetric nor skew-symmetricdata not adequateA. symmetricB. skew-symmetricC. neither symmetric nor skew-symmetricD. data not adequate

Answer» Correct Answer - B
`B=A_(1) +3 A_(3)^(3)+...+ (2n-1) (A_(2n-1))^(2n-1)`
`B^(T)=-[A_(1)+3A_(3)^(3)+...+ (2n-1) (A_(2r-1))^(2r-1)]`
`=-B`
Hence, B is skew-symmetric.


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