Doubt regarding the dimensions of the parameters gamma and beta of Batch Norm

Course Q&A Deep Learning Specialization Improving Deep Neural Networks: Hyperparameter tun
1

While talking about the batch norm, two new parameters were introduced - gamma and beta, which allow us to control the mean and variance of the intermediary inputs (Z[l] values for any layer “l”).

So, these 2 parameters are just a single value for each hidden layer, right? (and not n[l] distinct values)

Later in a lecture, the dimensions for these two parameters were given as (n[l],1). So I am assuming they are a single value that will be broadcasted to arrays of this dimension. Am I correct?

2

beta^{[l]} and \gamma^{[l]} have shape (n[l], 1). This means that for each layer, there are as many rows as number of nodes in that layer and 1 column.