An elementary n time ×n scaling matrix with k on the diagonal is the same as the n times ×n identity matrix with ___ of the ___ 1's 0's replaced with some number k. This means it is ___ a singular matrix, an identity matrix, an invertible matrix, a triangular matrix, a zero matrix, and so its determinant is the ___ product sum of its diagonal entries. Thus, the determinant of an elementary scaling matrix with k on the diagonal is nothing.