If `A=[[0,a,b],[-a,0,c],[-b,-c,0]]`, find `1/2 (A+A\')` and `1/2 (A-A\')`

If A=[[1,2,3],[-1,0,2],[1,-3,1]], B=[[4,5,6],[-1,0,1],[2,1,2]], C=[[-1,-2,1],[-1,2,3],[-1,-2,2]] find A-2B+3C. Also verify that (A+B)+C=A+(B+C).

" If "A=[[1,-1,1],[0,2,-3],[2,1,0]]" and "B=(adj A)" and "C=5A" ,then find the value of "(|adj B)/(|C|)

If A=[[1, 1,-1],[ 2, 0, 3],[ 3,-1, 2]] , B=[[1, 3],[0,2],[-1, 4]] and C=[[1,2, 3,-4],[ 2, 0,-2, 1]] , find A(BC), (AB)C and show that (A B)C = A(B C) .

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 = A C + B C

Find 1/2 (A + A') and (A-A') when A = [[0,a,b],[-a,0,c],[-b,-c,0]]

If A=[[1,0,1],[0,2,0],[1,-1,4]],A=B+C,B=B^(T) and C=-C^(T) , then C=

Find 1/2 (A+A^T) and 1/2(A-A^T) where A=[[0,a,b],[-a,0,c],[-b,-c,0]]

If A=[[1,0],[0,1]],B=[[1,0],[0,-1]] and C=[[0,1],[1,0]] then show that A^(2)=B^(2)=C^(2)

If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B+C=[[0,1],[2,1]] A+B-C =[[1,2],[1,0]] find A,B and C.