If `A=[(a,b,c),(x,y,z),(p,q,r)] and B=[(q,-b,y),(-p,a,-x),(r,-c,z)]` then (A) `|A|=|B|` (B) `|A|=-|B|` (C) `|A|=2|B|` (D) none of these

If A = |(a,b,c),(x,y,z),(p,q,r)| and B = |(q,-b,y),(-p,a,-x),(r,-c,z)| , then

If A=[(a,b,c),(x,y,x),(p,q,r)], B=[(q,-b,y),(-p,a,-x),(r,-c,z)] and If A is invertible, then which of the following is not true ?

Prove that: |{:(a, b, c), (x, y, z), (p, q, r):}|=|{:(y, b, q), (x, a, p), (z, c, r):}|

If A = [[a,b,c],[x,y,z],[p,q,r]], B= [[q , -b,y],[-p,a,-x],[r,-c,z]] and if A is invertible, then which of the following is not true?

If |[x+a, y+b, z+c] , [y+b, z+c, x+A] , [z+c, x+a, y+b]|=0 and a+c=-b then x,-y/2,z are in (A) A.P. (B) G.P. (C) H.P. (D) None of these

Let X = {a,b,c,p,q,r,x,y,z}, A= {b,q,y}, B={a,p,r,x,y} then (A nn B)'

If Delta_(1)=|[a,b, c],[x, y, z],[p,q ,r]|"and "Delta_(2) |[q,-b, y],[-p, a, -x],[r,-c ,z]| then without expanding Delta_(1) " and "Delta_(2), "prove that "Delta_(1) + Delta_(2) =0

If Delta_1=|[a, b, c],[ x, y, z],[ p, q, r]| and Delta_2=|[q,-b, y],[-p, a,-x],[ r,-c, z]|, without expending or evaluating Delta_1 and Delta_2 , show that Delta_1+Delta_2=0