If `| [ a, 1, 1 ] , [ 1 , b , 1 ] , [ 1, 1 , c ] |` then show that
`1/( 1 - a ) + 1/( 1 - b ) + 1/( 1 - c) = 1`

|[a, 1, b+c], [b, 1, c+a], [c, 1, a+b]|=?

If a + 1/b = 1 and b + 1/c = 1 , then show that c + 1/a = 1

If a, b and c are all different from zero and Delta = |(1 +a,1,1),(1,1 +b,1),(1,1,1 +c)| = 0 , then the value of (1)/(a) + (1)/(b) + (1)/(c) is

If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0, then prove that 1/a+1/b+1/c+1=0