If `A=[[3,5],[2,1]]` Show that `(A^(T))^(-1)=(A^(-1))^(T)`.

If A = ((3,1),(0,2)) show that (A^(T))^(-1) = (A^(-1))^(T) where A^(T) is the transpose of A .

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

If A=[[5,-4],[2,-1]] then show that |A| = |A^(T)|

If A = [{:(3,1),(5,2):}], then (A ^(T)) ^(-1) =

If A=[[1,2,],[3,4,]],B=[[-2,3,],[-1,2,]] ,show that (A+B)^T=A^T+B^T.

If A=[[1,2,],[3,4,]],B=[[-2,3,],[-1,2,]] ,show that (A+B)^T=A^T+B^T.

Let A=[(1, 2), (1, 3)], B=[(4, 0), (1, 5)], C=[(2, 0), (1, 2)] show that (A-B)^(T)=A^(T)-B^(T)

If A={:[(1,2,5),(-1,3,-4)]:} and B={:[(3,-2,1),(0,-1,4),(5,2,-1)]:}, show that, (AB)^(T)=B^(T)A^(T) where A^(T) is the transpose of A.

.If A=[[1,4,7],[2,5,8]] and B=[[-3,4,0],[4,-2,-1]] then show that (A+B)^T=A^T+B^T

Let A=[(1, 2), (1, 3)], B=[(4, 0), (1, 5)], C=[(2, 0), (1, 2)] , show that (A-B)^(T)=A^(T)-B^(T) .