Chapter 4 - Vector Spaces - 4.3 Exercises - Page 215: 1

These are linearly independent and thus span $R^3$.

To solve let us first put this Matrix in Row Echelon Form. We do this by multiplying the 3rd row by negative 1 then adding it to the first and second rows to get the matrix below. Then subtracting the 2nd row from the first yields $I^3$