Final answer:
The question asks for a matrix with three linearly independent columns, but without specific details, no precise matrix can be provided. An example of such a matrix is the 3x3 identity matrix.
Step-by-step explanation:
The question is related to the concept of linear independence in the context of matrix columns. Linear independence means that none of the columns in the matrix is a linear combination of the other columns. For a set of columns to be linearly independent, it must be possible to form the identity matrix by linear combinations of these columns, which implies that each column must have a pivot position. If we were given the actual dimensions or specific entries of a matrix, we could determine the linear independence. However, because no specific matrix is provided in the question, we cannot give a precise matrix. One example of a matrix with three linearly independent columns is the 3x3 identity matrix where each column is a standard basis vector for ℝ³.