How do I find A if I have the transpose of A?

Question

So I'm thinking about this problem

I know that $(A^T)^T=A$ but when I have a coefficient like in this problem above, what do I do?

Answer 1

Turning my comment hint into into an "answer":

Hint: $(\lambda A)^T = \lambda A^T$.

Answer 2

Hint

You also can try this, $$[(2A)^T]^T=2A.$$