pLEASE help me with 18th sum
correct option is A,B,C,D

Dear Student,
Please find below the solution to the asked query:

We have three elements: -2016, 0,2016There are 9 places to fill and each place can be filled with any of the threechoices i.e -2016, 0,2016HenceTotal matrix formed=39Now &&&&&&For symmeric matrix we need to care about upper of lower triangle of the matrixas once we fill upper triangle, lower triangle becomes fixed.So we need to fill 6 places only nad remaining three becomes fixedTotal number of symmetric matrix=36Probabilty of getting symmetric matrix=3639=133OptionA0&&0&0In skew symmetric leading diagonal will be 0, hence we only need to careabout 3 places which can be filled with any of three choicesTotal number of skew-symmetric matrix=33Probabilty of getting skew-symmetric matrix=3339=136OptionBTrace is sum of entries along leading diagonal.For maximum value of trace, all elements of leading diagonal should bfilled with 2016 and with -2016 in case of minimum trace2016&&&2016&&&2016Maximum trace and -2016&&&-2016&&&-2016Minimum traceSo now we need to fill 6 remaining six places:Number of matrices with maximum trace=36Probabilty of getting matrix with maximum trace=3639=133OptionCNumber of matrices with minimum trace=36Probabilty of getting matrix with minimum trace=3639=133OptionD

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.

  • 0
your questin is worong
  • 0
What are you looking for?