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]|=a b c(1+1/a+1/b+1/c)=a b c+b c+c a+a b

Show that Determinant of [[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)

Show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]|=abc(1+1/a+1/b+1/c)=abc+bc+ca+ab

Show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]| = abc(1+1/a+1/b+1/c) = abc+bc+ca+ab

Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]| = abc(1+1/a+1/b+1/c) , (abc != 0)

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

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):}| =abc (1+1/a + 1/b + 1/c)