If `A=[[2,-3,4],[-1,0,3],[4,-5,-5]]`then verify that `(A')'= A`

If A=[[2,-3,4],[-1,0,3],[4,-5,-5]] then find A'

If A=[[2,-3,4],[-1,0,3],[4,-5,-5]] then (alpha A)'=alpha.A'

If A = [[3,1,],[4,0]] , B = [[4,0],[2,5]] then verify that (AB)^-1 = B^-1A^-1 .

Answer the following questions.If A=[[2,-3],[3,-2],[-1,4]],B=[[-3,4,1],[2,-1,-3]] verify (3A-5B^T)^T=3A^T-5B

Compute the adjoint of the matrix, A: [[1,4,5],[3,2,6],[0,1,0]] and verify that: A(AdjA) = abs(A)I .

If A=[[1,2,-5],[2,-3,4],[-5,4,9]] ,prove that (A)^T=A

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A+B)'=A'+B'

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A-B)'=A'-B'

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that 3(A+B)=3A+3B

If A=[[1,2,-3],[5,0,2],[1,-1,1]],B=[[3,-1,2],[4,2,5],[2,0,3]] and C=[[4,1,2],[0,3,2],[0,-2,3]] verify that A(B+C)=AB+AC