A) a unit matrix
B) a symmetric matrix
C) a skew-symmetric matrix
D) a zero matrix
Correct Answer: C
Solution :
\[{{(A-{{A}^{T}})}^{T}}={{A}^{T}}-{{({{A}^{T}})}^{T}}={{A}^{T}}-A\] \[[\because {{({{A}^{T}})}^{T}}=A]\] \[=-(A-{{A}^{T}})\] Hence\[A-{{A}^{T}}\]is skew' symmetric matrix.You need to login to perform this action.
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