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In Python, a string that denotes a numeric matrix can be transformed into a two-dimensional array using the following steps:

1. Split the string into rows using the newline character as the delimiter, and store the result as a list of strings representing each row.

2. Split each row string into individual values using a space character as the delimiter, and store the result as a list of strings representing each value in the row.

3. Convert each value string to a numeric float using the float() function.

4. Create a two-dimensional array using the numpy library and the np.array() function, passing the list of row lists as the input.

5. Return the resulting array.

Here is an example implementation in Python:

import numpy as np

def parse_matrix(matrix_string):
    rows = matrix_string.split("\n")
    matrix = []
    for row in rows:
        values = [float(val) for val in row.split(" ")]
        matrix.append(values)
    return np.array(matrix)

With this function, you can parse a matrix string like this:

matrix_string = "1.0 2.0 3.0\n4.0 5.0 6.0\n7.0 8.0 9.0"
matrix_array = parse_matrix(matrix_string)
print(matrix_array)

Output:

array([[ 1.,  2.,  3.],
       [ 4.,  5.,  6.],
       [ 7.,  8.,  9.]])