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JEE Class main Answered

Sir pls solve the following.
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Asked by rsudipto | 26 Dec, 2018, 11:33: AM
answered-by-expert Expert Answer
I assume the given matrix, begin mathsize 12px style increment space equals open vertical bar table row lambda c cell negative b end cell row cell negative c end cell lambda a row b cell negative a end cell lambda end table close vertical bar end style, it appears a skew-symmetric with diagonal elements are λ
then, we have
 
begin mathsize 12px style open vertical bar table row cell a squared plus lambda squared end cell cell a b plus c lambda end cell cell c a minus b lambda end cell row cell a b minus c lambda end cell cell b squared plus lambda squared end cell cell b c plus a lambda end cell row cell c a plus b lambda end cell cell b c minus a lambda end cell cell c squared plus lambda squared end cell end table close vertical bar space equals space open vertical bar table row cell a squared end cell cell a b end cell cell c a end cell row cell a b end cell cell b squared end cell cell b c end cell row cell c a end cell cell b c end cell cell c squared end cell end table close vertical bar space plus space open vertical bar table row cell lambda squared end cell cell c lambda end cell cell negative b lambda end cell row cell negative c lambda end cell cell lambda squared end cell cell a lambda end cell row cell b lambda end cell cell negative a lambda end cell cell lambda squared end cell end table close vertical bar space equals space a b c open vertical bar table row a b c row a b c row a b c end table close vertical bar space plus space lambda cubed open vertical bar table row lambda c cell negative b end cell row cell negative c end cell lambda a row b cell negative a end cell lambda end table close vertical bar space

equals space 0 space plus space lambda cubed increment end style
 
Since the above answer is not in the list, answere to the question is  " none of these "
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