Show that `|[0,c,b] , [c,0,a] , [b,a,0]|^2=|[b^2+c^2, ab, ac] , [ab, c^2+a^2, bc] , [ac, bc, a^2+b^2]|`

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

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

Find the product of the followng two matrices: [[0,c,-b],[-c,0,a],[b,-a,0]] and [[ a^2,ab,ac],[ab,b^2,bc],[ac,bc,c^2]]

|(0,c,b),(-c,0,a),(b,a,0)|-|(b^(2)+c^(2),ab,ac),(ab,c^(2)+a^(2),bc),(ac,bc,a^(2)+b^(2))|=

If A = [[0,c,-b],[-c,0,a],[b,-a,0]] and B = [[a^(2),ab,ac],[ab,b^2,bc],[ac,bc,c^(2)]] then A B=

If A=[[0 ,c,-b],[-c, 0, a],[ b, -a, 0]] and B=[[a^2, ab, ac],[ ab, b^2 , bc],[ ac ,bc, c^2]] , show that A B=B A=O_3xx3 .

Prove the following by multiplication of determinants and power cofactor formula |{:(0,c,b),(c,0,a),(b,a,0):}|^(2)=|{:(b^(2)+v^(2),ab,ac),(ab,c^(2)+a^(2),bc),(ac,bc,a^(2)+b^(2)):}| =|{:(-a^(2),ab,ac),(ab,-b^(2),bc),(ac,bc,-c^(2)):}|=4a^(2)b^(2)c^(2)

Find the product of the following two matrices [(0,c,-b),(c,0,a),(b,-a,0)] and [(a^2,ab,ac),(ab,b^2,bc),(ac,bc,c^2)] .

Find the product of the following two matrices [(0,c,-b),(c,0,a),(b,-a,0)] and [(a^2,ab,ac),(ab,b^2,bc),(ac,bc,c^2)] .