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प्रश्न
If A and B are matrices of the same order, then ABT − BAT is a
पर्याय
skew symmetric matrix
null matrix
unit matrix
symmetric matrix
उत्तर
(ABT − BAT)T = (ABT)T − (BAT)T
= BAT − ABT
= −(ABT − BAT)
Therefore, ABT − BAT is a skew-symmetric matrix.
Hence, the correct option is (a).
Disclaimer: There is a misprint in the question. It should be BAT instead of BTA.
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