InterviewSolution
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InterviewSolution
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सिद्ध कीजिए कि `|{:(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-a-b):}|=(a+b+c)^(3)` |
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Answer» बायाँ पक्ष `=|{:(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-a-b):}|` `=|{:(a+b+c,2b,2c),(a+b+c,b-c-a,2c),(a+b+c,2b,c-a-b):}|C_(1)toC_(1)+(C_(2)+C_(3))` `=(a+b+c)|{:(1,2b,2c),(1,b-c-a,2c),(1,2b,c-a-b):}|` `=(a+b+c)|{:(1,2b,2c),(0,-(a+b+c),0),(0," "0,-(a+b+c)):}| (R_(2)toR_(2)-R_(1),R_(3)toR_(3)-R_(1))` `=(a+b+c)[1(a+b+c)^(2)-0]` `=(a+b+c)(a+b+c)^(2)=(a+b+c)^(3)` = दायाँ पक्ष |
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