Consider a geophysical inverse problem of the form \( \mathbf{d} = \mathbf{G} \mathbf{m} \), where \( \mathbf{G} \) is the forward operator, \( \mathbf{m} \) is the model vector and \( \mathbf{d} \) is the observed data vector. The Earth model parameters can be estimated using \( \mathbf{m}_{{est}} = \mathbf{H} \mathbf{d} \), where \( \mathbf{H} \) is the pseudoinverse of \( \mathbf{G} \). Given \( \mathbf{G} = \mathbf{U} \Sigma \mathbf{V}^T \) as the singular value decomposition of \( \mathbf{G} \), and assuming \( \mathbf{G} \) is full rank, which of the following options is/are correct?