(Solved): Determine if the columns of the matrix span \( \mathrm{R}^{4} \) \[ \left[\begin{array}{rrrr} 7 & 2 ...

Determine if the columns of the matrix span \( \mathrm{R}^{4} \) \[ \left[\begin{array}{rrrr} 7 & 2 & -5 & 4 \\ -5 & -3 & 4 & -5 \\ 15 & 30 & -6 & 9 \\ 14 & -18 & -4 & -22 \end{array}\right] \] Select the correct choice below and fill in the answer box to complete your choice. A. The columns span \( R^{4} \) because at least of the columns of \( A \) is a linear combination of the other columns of \( A \). B. The columns span \( R^{4} \) because the reduced echelon form of the augmented matrix is which has a pivot in every row. (Type an integer or decimal for each matrix element.) C. The columns do not span \( \mathbf{R}^{4} \) because the reduced echelon form of the augmented matrix is which does not have a pivot in every tow. (Type an integer or decimal for each matrix element)