" 12."|[0,a,-b],[-a,0,-c],[b,c,0]|=0.quad " INCERT "

Prove that: |[0,a,-b],[-a,0,-c],[ b, c,0]|=0 .

|(0,b,-c),(-b,0,a),(c,-a,0)|=

If Delta= |[0,b-a,c-a],[a-b,0,c-b],[a-c,b-c,0]| then Delta=

The value of the determinant A=[(0,a,-b),(-a,0,c),(b,-c,0)] is

Evaluate |[0,c,b] , [c,0,a] , [b,a,0]| hence show that |[0,c,b] , [c,0,a] , [b,a,0]|^2= |[b^2+c^2,ab,ac] , [ab,c^2+a^2,bc] , [ca,bc,a^2+b^2]|=4a^2b^2c^2

Without expanding or evaluating show that |[0 , b-a , c-a] , [a-b , 0 , c-b] , [a-c , b-c , 0]|=0

Show that det[[0,b-a,c-aa-b,0,c-ba-c,b-c,0]]=0

Without expanding or evaluating show that |(0,b-a, c-a),( a-b,0,c-b),( a-c ,b-c,0)|=0 .

Prove that : |{:(0,a-b,a-c),(b-a,0,b-c),(c-a,c-b,0):}|=0