Element of transpose matrix

[oak bison]

If I have matrix A and then matrix Aᵀ, then I want to express element aᵢⱼ, does it refer to the element of matrix A or the element of matrix Aᵀ? How to express the elements of transpose matrices in the form of like on the above? Thank you.

[long cove]

first of all it is asked for elements of A' or A^T

[dense thicket]

if A = (a_i,j) then A^T = (a_j,i)

[oak bison]

Then do I express the elements right below?

[dense thicket]

correct

[oak bison]

Thank you

@long cove thank you as well