How can one store a matrix in a particular column?

> DataFrame(name = "test", value = I(matrix(1:4, ncol = 2)))
DataFrame with 2 rows and 2 columns
         name    value
  <character> <matrix>
1        test      1:3
2        test      2:4

I had hoped that the result would be a DataFrame of one row, with a matrix of two rows and two columns in the first row and second column of the DataFrame.

Put it in a list and put the list in a column.