A) A is skew-symmetric and B is symmetric
B) B is skew-symmetric and A is symmetric
C) A and B are skew-symmetric
D) None of the above
Correct Answer: C
Solution :
Let A and B are skew-symmetric. \[\Rightarrow \] \[{{A}^{T}}=-A\] and \[{{B}^{T}}=-B\] ?..(i) Given, \[{{(AB)}^{T}}={{B}^{T}}{{A}^{T}}\] \[=(-B)(-A)\] [from Eq. (i)] \[=BA\]You need to login to perform this action.
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