I just want to make sure my reasoning is correct.

Question

Let A be a 7X3 matrix whose rank is 3

a)are the rows of A linearly dependent or independent?
I said dependent because a matrix whose rank is 3 means the row rank is 3, but if there are 7 rows then they have to be dependent on each other

b)are the columns of A linearly dependent or independent?

I said independent because the column rank would be 3 and there are 3 columns

is this reasoning enough to justify my answer?