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" Brove that "|[1+alpha,1,1,1],[1,1+b,1,...

" Brove that "|[1+alpha,1,1,1],[1,1+b,1,1],[1,1,1+c,1],[1,1,1,1+d]|=" abcd "(1+(1)/(a)+(1)/(b)+(1)/(c)+(1)/(d))

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Prove that |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc(1+(1)/(a)+(1)/(b)+(1)/(c)).

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Prove that : Det[[1+a,1,1],[1,1+b,1],[1,1,1+c]]=abc(1+1/a+1/b+1/c)

Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| =abc (1+(1)/(a)+(1)/(b)+(1)/(c))

Prove that |[1+a,1, 1], [1,1+b,1], [1, 1, 1+c]|=a b c(1+1/a+1/b+1/c)=a b c+b c+c a+a b

Prove that |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc(1+1/a+1/b+1/c)

Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/a+/b+1/c)

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