Find the value of `| [ b + c , a , 1 ] , [ c + a , b , 1 ] , [ a + b , c ,1 ] |` is

Find the value of ( a - b ) times ( a + b ) + ( b -c ) times ( b + c ) + ( c + a ) times ( c - a ) = A) -1 B) 0 C) 1

Find the value of: |[1 a^2 a^3],[1 b^2 b^3],[1 c^2 c^3]|

Let X = A . bar (BC) . Evaluate X for (a) A = 1 , B = 0 , C = 1 , (b) A = B = C = 1 and ( c) A = B = C = 0.

The value of Delta = |(1,a,b +c),(1,b,c +a),(1,c,a +b)| , is

If the value of the determinant |a1 1 1b1 1 1c| is positive then (a ,b ,c >0) a b c >1 b. a b c -2