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Prove the following : [[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]]=0 |
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Answer» SOLUTION :`[[1,bc,a(B+C)],[1,ca,b(c+a)],[1,AB,c(a+b)]] C_3rarrC_3+C_2` `[[1,bc,ab+bc+ca],[1,ca,ab+bc+ca],[1,ab,ab+bc+ca]]` =`(ab+bc+ca)[[1,bc,1],[1,ca,1],[1,ab,1]]`=0 `(therefore C_1 and C_3 are identical)` |
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