[120],[6.quad |[0,a,-b],[-a,0,-c],[b,c,0]|=0]

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

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

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

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

If A= [[0,6,7],[-6,0,8],[7,-8,0]], B= [[0,1,1],[1,0,2],[1,2,0]],C= [[2],[-2],[3]] calculate AC, BC and (A+B)C. Also verify that (A+B)C=AC+BC

If A = [[0,6,7],[-6,0,8],[7,-8,0]],B=[[0,1,1],[1,0,2],[1,2,0]],C=[[2],[-2],[3]] Calculate AC, BC and (A+B)C. Also show that(A+B)C=AC+BC.